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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>System-Dynamic Modeling of Information Influences and Co-Operations</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Sergey Yablochnikov</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Irina Yablochnikova</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vladimir Minaev</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mikhail Kuptsov</string-name>
          <email>kuptsov_michail@mail.ru</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Stanislav Vidov</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vadym Shved</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Institute of Higher Education of the National Academy of Pedagogical Sciences of Ukraine</institution>
          ,
          <addr-line>Kiev</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Ryazan State Radio and Technical University</institution>
          ,
          <addr-line>Ryazan</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Vinnitsa Institute of the University "Ukraine"</institution>
          ,
          <addr-line>Vinnitsa</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The questions of structural-functional and structural-dynamic modeling of information influences and counteractions in the economic sphere are considered. The basic models are presented in the form of a system of differential equations in the notation of system dynamics, as well as in the form of context and child DFD diagrams realized in accordance with SADT technology. Based on the developed hierarchical set of models, experiments have been implemented using the Anylogic simulation platform and real statistics on the practical activities of functioning business structures to promote goods and services in a competitive market environment. The structural-functional and structural-dynamic models of information influences and counteractions developed by the authors in the economic sphere have been successfully tested. A high degree of consistency of modeling results with empirical data is provided, which makes it possible to forecast, analyze, and manage various scenarios for the implementation of the corresponding processes.</p>
      </abstract>
      <kwd-group>
        <kwd />
        <kwd>Structural-functional modeling</kwd>
        <kwd>system-dynamic modeling</kwd>
        <kwd>information impact</kwd>
        <kwd>information counteraction</kwd>
        <kwd>management in the economy</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Modeling the functioning of complex management systems in the economy, as well as
all possible processes related to the presence of information impacts (II) and
information counteractions (IC), allows to predict the behavior of objects and subjects of
management in an aggressive information environment. In addition, it contributes to
an adequate assessment of the possible positive or negative consequences of the
implementation of such impacts.</p>
      <p>In the modern information society, competitive struggle in the economic sphere is
realized using the means of information and telecommunication technologies. Quite
often the opinion about a product or service is formed through the implementation of
carefully planned information influences on certain groups of consumers who are
participants of various social networks, subscribers of various mailings, readers of
Internet blogs, etc. At the same time, due to the dissemination of the aggregate of
information, a certain positive attitude to the product advertised in this way can be
formed, as well as negative (conditionally speaking, advertising and anti-advertising).
In addition, there are also a number of Internet strategies to neutralize negative
information impacts, called the information countermeasures.</p>
      <p>The foregoing allows us to state that the modeling, assessment and forecasting of
information impacts on social groups, with a view to realizing competitive struggle in
the economy, and the organization of an appropriate information counteraction are
actual management tasks.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Degree of Problem Development</title>
      <p>
        Nowadays, a scientific base has been created in the field of dynamic modeling of
information influences on various social groups, which makes it possible to
investigate the processes of so-called information "infection", depending on the degree of
influence of various external and internal factors [
        <xref ref-type="bibr" rid="ref2 ref3 ref4 ref5">2-5</xref>
        ]. Several types of such models
have been developed: topological, factorial, regression, probabilistic and others. They
are the basis for further improvement of the toolkit for modeling information
interactions in society and the economy.
      </p>
      <p>
        Some authors in their publications argue that the most effective, from the point of
view of practical application, are simulation methods of modeling information impact
on groups of intellect carriers (both natural and hybrid). They allow you to analyze
various scenarios for implementing information operations and successfully predict
the behavior of both objects and control systems [
        <xref ref-type="bibr" rid="ref1 ref5">1, 5</xref>
        ].
      </p>
      <p>
        At one time, the authors of this article have also developed similar models that
have found real application in a number of industries (telecommunications, computer
networks, digital economy, education, etc.) [
        <xref ref-type="bibr" rid="ref6 ref7">6, 7</xref>
        ]. At the same time, the basis for
implementing simulation in practice was a set of interrelated models of system
dynamics synthesized by the implementation of a deep analysis of branched, nonlinear
dynamic structures. And as a theoretical basis system dynamics developed by J.
Forrester was used [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
      </p>
      <p>The success of the above actions, as a rule, is determined by the thoroughness of
carrying out the structural-functional and structural-dynamic analysis of processes. In
this case, it is important to adequately establish the presence and nature of the
interrelationships between the individual elements and their groups, the stable and unstable
state of the objects, the nature and parameters of the information processes, the
functions and operations that are realized, as well as the necessary resources and
constraints (regulations, rules, etc.) .). To solve the above tasks, according to the authors,
it makes sense to use the technology of SADT (structural-functional modeling) and
the corresponding software products, in particular CA ERwin Process Modeler.</p>
    </sec>
    <sec id="sec-3">
      <title>Purpose of the Research and Methodology</title>
      <p>Thus, the purpose of this study is the development of appropriate models of
information operations related to targeted information impact in the sphere of the
economy, on the one hand, and information counteractions (IC) on the other.</p>
      <p>We formulate a number of definitions that are directly related to the subject,
purpose and objectives of this scientific research, as well as the methodology that defines
it. Network information operations are a set of interrelated, purposeful actions of
information character, carried out in complex hierarchical information systems and
computer networks, through the implementation of "subject-object" and
"objectobject" contacts and task-oriented tasks, in fact, to initiate, update, block, generate
information processes in the technical, technological, economic and social spheres.</p>
      <p>
        System dynamics has evolved, thanks to advances in the analysis and design of
complex control systems, and in the field of computer modeling and computational
methods. Its basic principles were developed by J. Forrester, whose scientific works
were devoted to the analysis of the processes of functioning of industrial enterprises,
development of cities and world dynamics [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. A structural-functional modeling
(SADT - structured analysis and design technique) is a set of methods, rules and
procedures designed to construct functional models of systems in different subject areas.
      </p>
      <p>
        The SADT model displays the structure of the functioning processes of the system
and its individual subsystems, that is, the actions performed by them and the
connections between these actions. For this purpose, specific models are synthesized, which,
in a visual form, represent these actions in the form of a corresponding hierarchy. The
fundamentals of structural-functional modeling technology were formulated at the end
of the 1960s by Douglas T. Ross, while solving problems related to structural
programming [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
      <p>Now there is a wide choice of means of automated support of technology SADT.
Initially they were used for integrated computerization of production, and now they
found application in various fields of activity, primarily in the economy. Support for
SADT has evolved from a simple graphical tool to software that operates on the basis
of knowledge of more general concepts of modeling. These tools have the ability to
understand the semantics of the interconnected network of SADT diagrams and a
variety of models, and to combine such a multitude of information and rules with
other technologies.</p>
      <p>Thus, the authors propose to solve the problems of management in the sphere of
the economy by implementing a set of information impacts and counteractions, and
integrated approach is to use two approaches - structural-functional and
systemdynamic modeling. Moreover, the results of the implementation of the first
component will determine the structure and content of the set of actions within the
framework of the second one.</p>
    </sec>
    <sec id="sec-4">
      <title>Modeling of Information Impacts and Counteractions in the</title>
    </sec>
    <sec id="sec-5">
      <title>Sphere of Economy</title>
      <p>The high level of complexity of the simulated processes, the dynamics of the
corresponding parameters, states and structure predetermines not only the multiplicity of
modeling objects and the hierarchy of interrelations between them, but also the need
to form a hierarchy of models that describe objects, processes, relationships, resources
and performance results. The links between the above models and their hierarchy are
displayed using a set of graphs.</p>
      <p>
        And directly for the models of system dynamics, the following structural elements
are characteristic: levels are controlled objects displayed by variables whose values
correspond to the integral characteristics of the real flows under consideration; rate is
the speed of flows emanating from certain levels and entering into others, which
determine the corresponding changes in them; decision functions are functional
dependencies existing in the system, as well as auxiliary values and constants. Phase
variables (system levels) are displayed using systems of differential equations [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
      </p>
      <p>
        Based on the analysis of scientific literature, we assume that the above-mentioned
tasks of modeling information impacts in the economy are actually congruent with the
tasks of ensuring information security in general and in computer networks in
particular. Synthesis of such models is realized by a number of foreign scientific teams of the
USA [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ], China [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], Korea [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] and other countries successfully applied in practice.
However, they require conceptual and methodological refinement to solve similar
problems in the economic sphere effectively.
      </p>
      <p>
        As the experience of applying the principles of system dynamics for modeling
shows, the initial node of graphs displaying the hierarchy of dynamic information
models is the basic system-dynamic model of SY (S is the number of objects of
information impact, and Y is their number of positively reacting to it). In addition,
SYR, SLY and SLYR models are developed that contain other states (R is the number
of objects that ignore the imposed behavior, L is their number in the latent stage, etc.),
as well as models that reflect the dynamics of the volume of a group of objects
influence (the presence of the symbol "O" in the abbreviation), and ignoring objects after
some time, behavior imposed to them and returning them back to the original set of
prone II (the symbol "S" in the abbreviation). Examples of such graphs containing 16
models are given in the publication [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
      <p>Each of these models can be of two types. In models of the first type it is assumed
that an object that has adopted a negative idea of influence cannot change the
behavioral algorithm and directly go to the set of objects that have adopted a positive idea,
and vice versa. Only the possibility of forgetting information and the transition of an
object that has adopted a positive or negative idea of information impact into the
original set is envisaged. After this, the object can again accept both a positive and a
negative idea. Models of the second type are modifications of models of the first type
and imply a direct transition of the object that adopted the first (negative) idea of II
into the set that accepted the second (positive) idea of II and vice versa.</p>
      <p>The complex system-dynamic model is represented by us in the form of the
following system of equations
q&amp; = f ( q , ε )
(1)
where q&amp; = d q ; t is time; q = c o l o n ( q 1 , q 2 , q 3 ) ; f = c o l o n ( f 1 , f 2 , f 3 ) ;
d t
ε =  εε 1211 εε 1222 εε 1233  are II parameters; q 1 is the total number of objects subject
 ε 3 1 ε 3 2 ε 3 3 
to information impact (and counteraction); q 2 is the number of objects that received
the service (goods); q 3 -is the number of objects that refused services (goods);
f i ( q , ε ) = ε i1 q 1 + ε i 2 q 2 + ε i 3 q 3 . Values ε ij characterize all possible parameters
of information impacts and counteractions, given in fig.1-4. These include the
propagation speeds of competing impacts; speed of decision-making by II objects (order
execution or refusal from it); relative frequencies of ordering and refusal; the length
of the latent period; probability of forming a positive (negative) message, etc.
Generally speaking, the parameters can depend on the time, but here we consider them
constant. It should also be noted that in system (1) implicitly there is a value
q 4 = q 1 - q 2- q 3 characterizing the number of II objects that have not taken any
decision at the moment (in the latent stage).</p>
      <p>
        For the practical implementation of such system-dynamic models, as a rule,
statistical data are used on the distribution of various information impacts in social
networks, as well as survey data in groups of such networks. The process of simulation is
carried out on the platform Anylogic or similar [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
      </p>
      <p>We use the tools of the CA ERwin Process Modeler for the SADT technology to
synthesize structural and functional models for the implementation of information
impact and counteraction processes in the economy. To simplify the situation, it is
assumed that there are two competing market players, each of which "promotes" its
product (service) on the market, carrying out information impact on a certain social
group of intellect bearers. Simultaneously, an information counteraction to the
competitive proposal is formed.</p>
      <p>The DFD diagram of the information impact on a group of objects that belong to a
certain group (for example, one of the groups of a certain social network) is shown in
fig. 1.</p>
      <p>In this figure, a market participant is presented, initiating, due to information
impact, the processes of acquiring certain goods or receiving services. Choosing the
target audience and the means of influencing it, he turns to sources of information on
available modern methods, technologies and means of implementing II, as well as on
the availability of potential II facilities and their groups. In doing so, it assesses its
capabilities and resources to implement these impacts, receiving information from
relevant sources.</p>
      <p>In turn, the very process of stimulating the activity of market participants,
initialized by this subject, can have several outcomes: the formulation of an order and the
receipt of goods or services; refusal to order; ignoring the offer. In addition, objects
"infected" due to II can themselves become sources of initialization of II for other
objects, spreading either positive or negative messages. II objects, in the process of
making an appropriate decision, use sources of information on the rules and norms for
the operation and the procedure of operating of these goods and services, as well as
on available finances and various payment schemes for goods and services. In
addition, it is possible to request additional information from a market entity.</p>
      <p>Fig. 2 shows the decomposition of the main process (Fig. 1) as a daughter DFD
diagram. First of all, the information object, which in a certain way is allocated on the
general information background, should be presented in a certain way to the object of
influence. They should interest him, to go to the decision-making phase, or at least to
implement some analysis. (for example, assessing the competitive environment). At
this stage, we focus on three main processes: the adoption of a preliminary positive
decision; rejection of a commercial proposal and perception of the whole information
without further action (latent stage).</p>
      <p>In the first case, the object of information impact begins to analyze the market
carefully, while correlating available financial resources (cash and non-cash funds,
the possibility of lending or other methods of payment for goods and services, for
example, discounts, promotions, bonuses, etc.). ) and a set of characteristics,
information, about which he requests from the subject forming the II. The information
about the current norms and restrictions, the conditions of operation and maintenance
offered by the subjects of the goods market, as well as the quality of services is also
taken into account. Having adopted the final positive decision, the II object not only
can place an order, paying for it, but starts distributing positive information
(messages) in social networks, contributing to the avalanche-like growth of information
impact on other objects.</p>
      <p>In case of refusal of the commercial offer, the II facility can not only properly issue
such a refusal, but also start disseminating negative information (negative message)
among the participants of some groups of social networks regarding the attitude to the
product or service formed by it, thus, in fact, carrying out elements of information
confrontation. Ignoring II facilitates the transition to the so-called latent phase,
however, over time, it is possible the transition to either the initial state or the adoption of
one of the types of solutions (positive or negative).</p>
      <p>Fig. 3 shows the initial DFD diagram showing the information confrontation
between two competitive participants in the market for goods and servants. The
processes of assessing perception, evaluating information by information impact objects, in
this case, are significantly more complicated. Accordingly, the number of outcomes
of the implementation of these processes also changes.</p>
      <p>In this case, there are two possible scenarios for implementing an impact on
objects. The first one presupposes fair competition of the subjects, realized only through
the implementation of II with information on the positive qualities of the goods and
services offered, as well as on special offers, discounts, preferential terms, bonuses,
warranty and post-warranty services, etc. The second is connected with the messages
of one of the subjects (or both), containing obvious or implicit anti-advertising of
competitors' offers.</p>
      <p>A subsidiary DFD diagram of the implementation of information confrontation
processes in the market of goods and services is shown in Fig. 4.</p>
      <p>In this case, the object of information impact perceives and analyzes positive
information about both offered goods or services. At the same time, he is being imposed
negative information by one of the subjects of competition. All this becomes the basis
for evaluating all the arguments "pros" and "cons", taking into account available
resources and limitations. Here, for some simplification of the situation, it is accepted
that only the second participant of the market applies the elements of information
counteraction, and the first conducts an "honest" competition, informing the II objects
only about the real characteristics of its goods (services).</p>
      <p>Subjects of the market, forming II on objects, legally or not quite illegally from
some sources receive information about the telecommunications technologies,
communication facilities, computer networks, services used by the objects of influence.
This information, as a rule, is actively extracted in the global Internet, carrying out a
contextual search, or by monitoring the relevant activity of potential consumers of
goods and services.
5</p>
    </sec>
    <sec id="sec-6">
      <title>Practical Application of the Developed Structural-Functional</title>
    </sec>
    <sec id="sec-7">
      <title>Models</title>
      <p>The above principles were used by the authors of this article in practice to model the
processes of promotion of telecommunications products and services in the market,
and also to manage the formation of the corresponding demand. Implementation of
simulation on the Anylogic platform is implemented using statistical data on the
practical activities of real economic entities "Nittelekom Ltd" and "Solyaris-servis"
(Ukraine). In the experiments on actual statistical data the spreading of II from seven
different users was simulated individually, as well as simultaneously from multiple
sites of real social network. Depending on the typological characteristics of social
groups the models of II were drawn up. The verification of the adequacy of models,
their adjustment and optimization (if necessary), processing of results of simulation
experiments were conducted. For the implementation of the system-dynamic models
the statistics of the spreading of II in social networks was used, as well as survey data
in social groups. The obtained results, firstly, made it possible to draw conclusions on
the importance of applying the technology of structural-functional modeling as a
preliminary stage in the formation of a hierarchical system of dynamic models in the
form of a set of differential equations (1) that are interrelated and mutually
conditioned. The reliability of the statistical findings mounted to 0.95. Secondly, the
simulation results enabled to optimize the activity of economic objects in the sphere of
promotion of goods and services in competitive environment.
6</p>
    </sec>
    <sec id="sec-8">
      <title>Conclusions</title>
      <p>The models developed by the authors make it possible to analyze and predict the
dynamics of the number of objects reacting positively to II, and also to substantiate
management decisions on the preparation and implementation of measures aimed at
neutralizing negative impacts on the entire set of objects and their individual groups.
These actions are correlated with the structure and dynamics of a complex of factors
that influence such processes.</p>
      <p>To solve the problems of researching II on groups of objects, as well as managing
similar processes, it is expedient to apply structural-functional and system-dynamic
modeling, which are now successfully used in the field of research of complex
socioeconomic processes.</p>
      <p>The software of modern simulation platforms allows you to analyze in detail
various scenarios, visually interpret the results of simulation, conduct simulation
experiments. And the means of structural and functional modeling provide an effective
implementation of the preparatory stages, on which the objects are identified, their
possible states, realizable functions and the results achieved.</p>
      <p>Structural and functional models of information impact and counteraction can be
effectively used to synthesize the strategy and tactics of information contact, opposing
structures in the economic sphere with objects and their groups, and to create sound
algorithms to counteract negative information impact.</p>
    </sec>
  </body>
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