<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">vmait</journal-id><journal-title-group><journal-title xml:lang="ru">Computational Mathematics and Information Technologies</journal-title><trans-title-group xml:lang="en"><trans-title>Computational Mathematics and Information Technologies</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2587-8999</issn><publisher><publisher-name>Донской государственный технический университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.23947/2587-8999-2021-1-2-72-77</article-id><article-id custom-type="elpub" pub-id-type="custom">vmait-34</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title>МОДЕЛИРОВАНИЕ НЕСИММЕТРИЧНОГО ИНФОРМАЦИОННОГО ПРОТИВОБОРСТВА ПРИ НАЛИЧИИ АЖИОТАЖА</article-title><trans-title-group xml:lang="en"><trans-title>MODELING ASYMMETRIC INFORMATION WARFARE IN THE PRESENCE OF HYPE</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Подлипская</surname><given-names>О. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Podlipskaia</surname><given-names>O. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ольга Геннадьевна Подлипская, Кафедра высшей математики, доцент</p><p>141701, Московская облаcть, г. Долгопрудный, Институтский пер., 9</p></bio><bio xml:lang="en"><p>Olga Podlipskaia, Department of Higher Mathematics, Associate Professor</p><p>9 Institutskiy per., Dolgoprudny, Moscow Region, 141701</p></bio><email xlink:type="simple">proncheva@phystech.edu</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский физико-технический институт (национальный исследовательский университет)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Moscow Institute of Physics and Technology</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>21</day><month>02</month><year>2023</year></pub-date><volume>5</volume><issue>2</issue><fpage>72</fpage><lpage>77</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Подлипская О.Г., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Подлипская О.Г.</copyright-holder><copyright-holder xml:lang="en">Podlipskaia O.G.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.cmit-journal.ru/jour/article/view/34">https://www.cmit-journal.ru/jour/article/view/34</self-uri><abstract><p>Одна из типовых ситуаций при информационном противоборстве состоит в том, что одна из партий обладает преимуществом в ресурсе вещания, а другая партия распространяет более вирусные сообщения. Возникает вопрос о том, в какой мере эти факторы могут уравновешивать друг друга. Другими словами, насколько большим должно быть преимуществ одной из сторон в своем факторе, чтобы одержать победу в информационном противоборстве. Метод. Рассматривается модель информационного противоборства в социуме при наличии ажиотажа. Предполагается, что две партии вербуют сторонников, распространяя сообщения через аффилированные средства массовой информации. Их сторонники участвуют в партиципаторной пропаганде, распространяя эти сообщения среди других индивидов. Модель имеет вид системы двух нелинейных обыкновенных дифференциальных уравнений. С моделью проведены численные эксперименты. В рамках экспериментов фиксировались все параметры, кроме интенсивности вещания одной партии и интенсивности передачи сообщений другой партии при межличностной коммуникации. Значения первого из этих параметров перебирались с определенным шагом, и путем численных экспериментов. Один из этих параметров варьировался, и путем численного эксперимента определялось значение второго параметра, при котором партии имеют равное количество сторонников на конец противоборства. Получено соотношение между указанными параметрами, при котором побеждает данная партия. Это соотношение носит линейный характер. </p></abstract><trans-abstract xml:lang="en"><p>One of the typical situations in information confrontation is that one of the parties has an advantage in the broadcasting resource, while the other party spreads more viral messages. The question arises as to the extent to which these factors can balance each other. In other words, how large should be the advantages of one of the parties in its factor in order to win the information war. The model of information confrontation in society in the presence of excitement is considered. Supporters are believed to be recruited by the two parties by spreading messages through affiliated media. Their supporters participate in participatory propaganda, spreading these messages to other individuals. The model has the form of a system of two nonlinear ordinary differential equations. Numerical experiments have been carried out with the model. Within the framework of the experiments, all parameters were recorded, except for the broadcasting intensity of one party and the intensity of the transmission of messages by the other party during interpersonal communication. The values of the first of these parameters were taken with a certain step, and through numerical experiments. One of these parameters was varied, and the value of the second parameter was determined by a numerical experiment, at which the parties have an equal number of supporters at the end of the confrontation. The ratio between the specified parameters is obtained, at which the given party wins. This relationship is linear.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>информационное противоборство</kwd><kwd>математическое моделирование</kwd><kwd>дифференциальные уравнения</kwd><kwd>численные эксперименты</kwd></kwd-group><kwd-group xml:lang="en"><kwd>information warfare</kwd><kwd>mathematical modeling</kwd><kwd>delay-differential equations</kwd><kwd>numerical experiments</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено при финансовой поддержке РФФИ в рамках научного проекта № 20-01-00229.</funding-statement><funding-statement xml:lang="en">The research was supported by the Russian Foundation for Basic Research (project 20-01-00229).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Wanless, A. and Berk, M., 2019. The audience is the amplifier: Participatory propaganda. The Sage Handbook of Propaganda. Sage: London. P. 85-104.</mixed-citation><mixed-citation xml:lang="en">Wanless, A. and Berk, M., 2019. The audience is the amplifier: Participatory propaganda. The Sage Handbook of Propaganda. Sage: London. P. 85-104.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Daley, D.J., Kendall, D.G.: Stochastic rumors // Journal of the Institute of Mathematics and its Applications, 1, 42–55 (1964).</mixed-citation><mixed-citation xml:lang="en">Daley, D.J., Kendall, D.G.: Stochastic rumors // Journal of the Institute of Mathematics and its Applications, 1, 42–55 (1964).</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Maki, D.P., Thompson, M.: Mathematical Models and Applications, Prentice-Hall, Englewood Cliffs, NJ, USA (1973)</mixed-citation><mixed-citation xml:lang="en">Maki, D.P., Thompson, M.: Mathematical Models and Applications, Prentice-Hall, Englewood Cliffs, NJ, USA (1973)</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Osei, G.K., Thompson, J.W.: The supersession of one rumour by another // J. of Applied Probability, 14(1), 127–134 (1977).</mixed-citation><mixed-citation xml:lang="en">Osei, G.K., Thompson, J.W.: The supersession of one rumour by another // J. of Applied Probability, 14(1), 127–134 (1977).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">A.G. Chkhartishvili, D.A. Gubanov, D.A. Novikov. Social Networks: Models of information influence, control and confrontation. Cham, Switzerland: Springer International Publishing, 2019. – 158 с. DOI: 10.1007/978-3-030-05429-8.</mixed-citation><mixed-citation xml:lang="en">A.G. Chkhartishvili, D.A. Gubanov, D.A. Novikov. Social Networks: Models of information influence, control and confrontation. Cham, Switzerland: Springer International Publishing, 2019. – 158 с. DOI: 10.1007/978-3-030-05429-8.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">D. Gubanov, I. Petrov. Multidimensional Model of Opinion Polarization in Social Networks // 2019 Twelfth International Conference "Management of large-scale system development" (MLSD). Moscow, Russia: IEEE, 2019. С. 1-4. DOI: 10.1109/MLSD.2019.8910967.</mixed-citation><mixed-citation xml:lang="en">D. Gubanov, I. Petrov. Multidimensional Model of Opinion Polarization in Social Networks // 2019 Twelfth International Conference "Management of large-scale system development" (MLSD). Moscow, Russia: IEEE, 2019. С. 1-4. DOI: 10.1109/MLSD.2019.8910967.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">A.G. Chartishvili, I.V. Kozitsin, V.L. Goiko, E.R. Saifulin. On an Approach to Measure the Level of Polarization of Individuals’ Opinions // 2019 Twelfth Inter-national Conference "Management of large-scale system development" (MLSD), Moscow, Russia, 2019, pp. 1-5, doi: 10.1109/MLSD.2019.8911015.</mixed-citation><mixed-citation xml:lang="en">A.G. Chartishvili, I.V. Kozitsin, V.L. Goiko, E.R. Saifulin. On an Approach to Measure the Level of Polarization of Individuals’ Opinions // 2019 Twelfth Inter-national Conference "Management of large-scale system development" (MLSD), Moscow, Russia, 2019, pp. 1-5, doi: 10.1109/MLSD.2019.8911015.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">I.V. Kozitsin, A.M. Marchenko, V.L. Goiko, R.V. Palkin. Symmetric Convex Mechanism of Opinion Formation Predicts Directions of Users’ Opinions Trajec-tories // 2019 Twelfth International Conference "Management of large-scale sys-tem development" (MLSD), Moscow, Russia, 2019, pp. 1-5, doi: 10.1109/MLSD.2019.8911064.</mixed-citation><mixed-citation xml:lang="en">I.V. Kozitsin, A.M. Marchenko, V.L. Goiko, R.V. Palkin. Symmetric Convex Mechanism of Opinion Formation Predicts Directions of Users’ Opinions Trajec-tories // 2019 Twelfth International Conference "Management of large-scale sys-tem development" (MLSD), Moscow, Russia, 2019, pp. 1-5, doi: 10.1109/MLSD.2019.8911064.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">A.P. Petrov, S.A. Lebedev. Online Political Flashmob: the Case of 632305222316434 // Computational mathematics and information technologies. — 2019. — No 1. — P. 17–28. doi: 10.23947/25878999-2019-1-1-17-28.</mixed-citation><mixed-citation xml:lang="en">A.P. Petrov, S.A. Lebedev. Online Political Flashmob: the Case of 632305222316434 // Computational mathematics and information technologies. — 2019. — No 1. — P. 17–28. doi: 10.23947/25878999-2019-1-1-17-28.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Petrov A. P., Maslov A. I., Tsaplin N. A. Modeling Position Selection by In-dividuals during Information Warfare in Society // Mathematical Models and Computer Simulations, 2016, Vol. 8, No. 4, pp. 401–408, doi:10.1134/S2070048216040141.</mixed-citation><mixed-citation xml:lang="en">Petrov A. P., Maslov A. I., Tsaplin N. A. Modeling Position Selection by In-dividuals during Information Warfare in Society // Mathematical Models and Computer Simulations, 2016, Vol. 8, No. 4, pp. 401–408, doi:10.1134/S2070048216040141.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Petrov A., Proncheva O. (2018) Modeling Propaganda Battle: Decision-Making, Homophily, and Echo Chambers. In: Artificial Intelligence and Natural Language. AINL 2018. Communications in Computer and Information Science, vol 930. Springer. P. 197-209. doi: 10.1007/978-3-030-01204-5_19</mixed-citation><mixed-citation xml:lang="en">Petrov A., Proncheva O. (2018) Modeling Propaganda Battle: Decision-Making, Homophily, and Echo Chambers. In: Artificial Intelligence and Natural Language. AINL 2018. Communications in Computer and Information Science, vol 930. Springer. P. 197-209. doi: 10.1007/978-3-030-01204-5_19</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">A. Boldyreva, O. Sobolevskiy, M. Alexandrov, V. Danilova. Creating collec-tions of descriptors of events and processes based on Internet queries // 14-th Mexican Intern. Conf. on Artif. Intell. (MICAI-2016), Springer Cham, LNAI, 2016, vol. 10061 (chapter 26), 2016. pp. 303-314, https://doi.org/10.1007/978-3-31962434-1_26.</mixed-citation><mixed-citation xml:lang="en">A. Boldyreva, O. Sobolevskiy, M. Alexandrov, V. Danilova. Creating collec-tions of descriptors of events and processes based on Internet queries // 14-th Mexican Intern. Conf. on Artif. Intell. (MICAI-2016), Springer Cham, LNAI, 2016, vol. 10061 (chapter 26), 2016. pp. 303-314, https://doi.org/10.1007/978-3-31962434-1_26.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">A. Boldyreva, M. Alexandrov, O. Koshulko, O. Sobolevskiy. Queries to In-ternet as a tool for analysis of the regional police work and forecast of the crimes in regions // 14-th Mexican Intern. Conf. on Artif. Intell. (MICAI-2016), Springer Cham, LNAI, vol. 10061 (chapter 25), 2016. pp. 290-302, https://link.springer.com/chapter/10.1007/978-3-319-62434-1_25.</mixed-citation><mixed-citation xml:lang="en">A. Boldyreva, M. Alexandrov, O. Koshulko, O. Sobolevskiy. Queries to In-ternet as a tool for analysis of the regional police work and forecast of the crimes in regions // 14-th Mexican Intern. Conf. on Artif. Intell. (MICAI-2016), Springer Cham, LNAI, vol. 10061 (chapter 25), 2016. pp. 290-302, https://link.springer.com/chapter/10.1007/978-3-319-62434-1_25.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">L. Akhtyamova, M. Alexandrov, J. Cardiff, O. Koshulko. Opinion Mining on Small and Noisy Samples of Health-related Texts. // Advances in Intelligent Sys-tems and Computing III (Proc. of CSIT-2018), Springer, AISC, 2019, vol. 871, p.1-12.</mixed-citation><mixed-citation xml:lang="en">L. Akhtyamova, M. Alexandrov, J. Cardiff, O. Koshulko. Opinion Mining on Small and Noisy Samples of Health-related Texts. // Advances in Intelligent Sys-tems and Computing III (Proc. of CSIT-2018), Springer, AISC, 2019, vol. 871, p.1-12.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">L. Akhtyamova, M., J. Cardiff. LM-Based Word Embeddings Improve Bio-medical Named Entity Recognition: A Detailed Analysis. // Lecture Notes in Computer Science, vol 12108. Springer, Cham, doi: 10.1007/978-3-030-45385-5_56.</mixed-citation><mixed-citation xml:lang="en">L. Akhtyamova, M., J. Cardiff. LM-Based Word Embeddings Improve Bio-medical Named Entity Recognition: A Detailed Analysis. // Lecture Notes in Computer Science, vol 12108. Springer, Cham, doi: 10.1007/978-3-030-45385-5_56.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Pronchev G.B., Shisharina E.V., Proncheva N.G. Cyber threats for modern Russia in the context of the coronavirus pandemic // Political Science Issues. Vol. 11. 1(48-50). P.26-34. DOI: 10.35775/PSI.2021.48.1.003.</mixed-citation><mixed-citation xml:lang="en">Pronchev G.B., Shisharina E.V., Proncheva N.G. Cyber threats for modern Russia in the context of the coronavirus pandemic // Political Science Issues. Vol. 11. 1(48-50). P.26-34. DOI: 10.35775/PSI.2021.48.1.003.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Pronchev, G.B., Mikhailov, A.P., Lyubimov, A.P. and Solovyev, A.A., 2020. Particularities of the Internet-based virtual social environments within the context of information warfare. EurAsian Journal of BioSciences, 14(2), pp.3731-3739.</mixed-citation><mixed-citation xml:lang="en">Pronchev, G.B., Mikhailov, A.P., Lyubimov, A.P. and Solovyev, A.A., 2020. Particularities of the Internet-based virtual social environments within the context of information warfare. EurAsian Journal of BioSciences, 14(2), pp.3731-3739.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">A.A. Samarskii, A.P. Mikhailov. Principles of Mathematical Modelling: Ide-as, Methods, Examples. 2001. Taylor and Francis Group.</mixed-citation><mixed-citation xml:lang="en">A.A. Samarskii, A.P. Mikhailov. Principles of Mathematical Modelling: Ide-as, Methods, Examples. 2001. Taylor and Francis Group.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Mikhailov A. P., Marevtseva N. A. Models of information struggle // Math. Models Comput. Simul., Vol. 4, No. 3 (2012), P. 251–259.</mixed-citation><mixed-citation xml:lang="en">Mikhailov A. P., Marevtseva N. A. Models of information struggle // Math. Models Comput. Simul., Vol. 4, No. 3 (2012), P. 251–259.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Mikhailov A. P., Petrov A. P., Marevtseva N. A., Tretiakova I. V. Develop-ment of a Model of Information Dissemination in Society // Mathematical Models and Computer Simulations, 2014, Vol. 6, No. 5, pp. 535–541, 2014.</mixed-citation><mixed-citation xml:lang="en">Mikhailov A. P., Petrov A. P., Marevtseva N. A., Tretiakova I. V. Develop-ment of a Model of Information Dissemination in Society // Mathematical Models and Computer Simulations, 2014, Vol. 6, No. 5, pp. 535–541, 2014.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">A.P. Mikhailov, L.F. Yukhno. The formulation and preliminary study of the model of the hype dissemination of information in society // Computational mathematics and information technologies. — 2019. — No 2. P. 76-82. doi: 10.23947/2587-8999-2019-2-2-76-82.</mixed-citation><mixed-citation xml:lang="en">A.P. Mikhailov, L.F. Yukhno. The formulation and preliminary study of the model of the hype dissemination of information in society // Computational mathematics and information technologies. — 2019. — No 2. P. 76-82. doi: 10.23947/2587-8999-2019-2-2-76-82.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
