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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Discrete and Continuous Models and Applied Computational Science</journal-id><journal-title-group><journal-title xml:lang="en">Discrete and Continuous Models and Applied Computational Science</journal-title><trans-title-group xml:lang="ru"><trans-title>Discrete and Continuous Models and Applied Computational Science</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2658-4670</issn><issn publication-format="electronic">2658-7149</issn><publisher><publisher-name xml:lang="en">Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">51144</article-id><article-id pub-id-type="edn">JWJLXP</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Modeling and Simulation</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Математическое моделирование</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Parthenogenetic Versus Sexual Reproduction: Mathematical Modelling of Population Dynamics</article-title><trans-title-group xml:lang="ru"><trans-title>Партеногенетическое воспроизводство в сравнении с половым. Математическое моделирование</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Tretyakov</surname><given-names>V. S.</given-names></name><name xml:lang="ru"><surname>Третьяков</surname><given-names>В. С.</given-names></name></name-alternatives><email>-</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Tretyakov</surname><given-names>N. P.</given-names></name><name xml:lang="ru"><surname>Третьяков</surname><given-names>Н. П.</given-names></name></name-alternatives><email>-</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Peoples' Friendship University of Russia</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2007-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2007</year></pub-date><issue>3-4</issue><issue-title xml:lang="en">NO3-4 (2007)</issue-title><issue-title xml:lang="ru">№3-4 (2007)</issue-title><fpage>85</fpage><lpage>92</lpage><history><date date-type="received" iso-8601-date="2026-07-08"><day>08</day><month>07</month><year>2026</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2007, Tretyakov V.S., Tretyakov N.P.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2007, Третьяков В.С., Третьяков Н.П.</copyright-statement><copyright-year>2007</copyright-year><copyright-holder xml:lang="en">Tretyakov V.S., Tretyakov N.P.</copyright-holder><copyright-holder xml:lang="ru">Третьяков В.С., Третьяков Н.П.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/miph/article/view/51144">https://journals.rudn.ru/miph/article/view/51144</self-uri><abstract xml:lang="en">Using a modified bit string aging model proposed by Penna we try to explain population dynamics of holocyclic species. In a system with two fractions (sexual and parthenogenetic) sexual population generates individuals with more genetic variability and these individuals are better adopted to the current environment. On the other hand, parthenogenetic population produces more offsprings. In our model a female can choose the best male among two randomly chosen males (i.e. with less deleterious mutations). We simulate a natural selection by this way. We show that in a system under deleterious external conditions, sexual fraction is better adopted to the current environment because of this single factor. In other words, female choice may be a unique factor responsible for the maintenance of sexual reproduction.</abstract><trans-abstract xml:lang="ru">Используя модифицированную модель Пенна, мы пытаемся объяснить динамику развития голоциклических видов. В системе с партеногенетическими самками и обычными самцами и самками последние дают начало потомкам, обладающим большим генетическим разнообразием, которые лучше приспособлены к условиям окружающей среды. С другой стороны партеногенетические самки продуцируют больше потомства. В нашей модели самка может выбирать лучшего самца (с меньшим количеством мутаций) среди двух случайно выбранных самцов. Мы моделируем так естественный отбор. Мы показали, что в системе с значительным мутационным фоном, половая фракция лучше приспособлена благодаря выбору самкой лучшего самца.</trans-abstract></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Carletti T., Fanelli D. // Eur. Phys. Lett. - Vol. 77. - 2007. - P. 18005.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Aguirre J., Manrubia S. C. // Eur. Phys. Lett. - Vol. 77. - 2007. - P. 38001.</mixed-citation></ref><ref id="B3"><label>3.</label><mixed-citation>Penna T. J. 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