Complex dynamics of a discrete-time Bazykin–Berezovskaya prey-predator model with a strong Allee effect
The present paper investigates the critical normal form coefficients for the one-parameter and two-parameter bifurcations of a discrete-time Bazykin–Berezovskaya prey-predator model. Based on the critical coefficients, it can be determined which scenario corresponds to each bifurcation. Further, for...
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| Vydáno v: | Journal of computational and applied mathematics Ročník 413; s. 114401 |
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| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier B.V
15.10.2022
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| Témata: | |
| ISSN: | 0377-0427, 1879-1778 |
| On-line přístup: | Získat plný text |
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| Abstract | The present paper investigates the critical normal form coefficients for the one-parameter and two-parameter bifurcations of a discrete-time Bazykin–Berezovskaya prey-predator model. Based on the critical coefficients, it can be determined which scenario corresponds to each bifurcation. Further, for a better representation of the study, the complex dynamics of the model are investigated theoretically and numerically using MatcotM, which is a Matlab package. Some graphical representations of the model are presented to verify the obtained results. The outcome of the study reveals that the model undergoes multiple bifurcations including period-doubling, Neimark–Sacker, and strong resonance bifurcations. |
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| AbstractList | The present paper investigates the critical normal form coefficients for the one-parameter and two-parameter bifurcations of a discrete-time Bazykin–Berezovskaya prey-predator model. Based on the critical coefficients, it can be determined which scenario corresponds to each bifurcation. Further, for a better representation of the study, the complex dynamics of the model are investigated theoretically and numerically using MatcotM, which is a Matlab package. Some graphical representations of the model are presented to verify the obtained results. The outcome of the study reveals that the model undergoes multiple bifurcations including period-doubling, Neimark–Sacker, and strong resonance bifurcations. |
| ArticleNumber | 114401 |
| Author | Naik, Parvaiz Ahmad Zu, Jian Eskandari, Zohreh Yavuz, Mehmet |
| Author_xml | – sequence: 1 givenname: Parvaiz Ahmad surname: Naik fullname: Naik, Parvaiz Ahmad email: naik.parvaiz@xjtu.edu.cn organization: School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi, 710049, PR China – sequence: 2 givenname: Zohreh surname: Eskandari fullname: Eskandari, Zohreh email: zohre.eskandari.math.iut@gmail.com organization: Department of Mathematics, Faculty of Science, Fasa University, Fasa, Iran – sequence: 3 givenname: Mehmet orcidid: 0000-0002-3966-6518 surname: Yavuz fullname: Yavuz, Mehmet email: mehmetyavuz@erbakan.edu.tr organization: Department of Mathematics and Computer Sciences, Faculty of Science, Necmettin Erbakan University, 42090, Konya, Turkey – sequence: 4 givenname: Jian surname: Zu fullname: Zu, Jian email: jianzu@xjtu.edu.cn organization: School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi, 710049, PR China |
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| Keywords | Neimark–Sacker bifurcation Bifurcation Period-doubling bifurcation Normal form coefficient Strong resonance bifurcations Prey-predator model |
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| SubjectTerms | Bifurcation Neimark–Sacker bifurcation Normal form coefficient Period-doubling bifurcation Prey-predator model Strong resonance bifurcations |
| Title | Complex dynamics of a discrete-time Bazykin–Berezovskaya prey-predator model with a strong Allee effect |
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