Bifurcation and Chaos of a Discrete-Time Population Model
A Leslie population model for two generations is investigated by qualitative analysis and numerical simulation. For the different parameters a and b in the model, the dynamics of the system are studied, respectively. It shows many complex dynamic behavior, including several types of bifurcations lea...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/8474715 |
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| _version_ | 1832546885579046912 |
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| author | Guo Feng Song Xinghao |
| author_facet | Guo Feng Song Xinghao |
| author_sort | Guo Feng |
| collection | DOAJ |
| description | A Leslie population model for two generations is investigated by qualitative analysis and numerical simulation. For the different parameters a and b in the model, the dynamics of the system are studied, respectively. It shows many complex dynamic behavior, including several types of bifurcations leading to chaos, such as period-doubling bifurcations and Neimark–Sacker bifurcations. With the change of parameters, attractor crises and chaotic bands with periodic windows appear. The largest Lyapunov exponents are numerically computed and can verify the rationality of the theoretical analysis. |
| format | Article |
| id | doaj-art-7f913b855ecf429090e916e58f4c1109 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-7f913b855ecf429090e916e58f4c11092025-02-03T06:46:39ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/84747158474715Bifurcation and Chaos of a Discrete-Time Population ModelGuo Feng0Song Xinghao1School of Data and Computer Science, Shandong Women’s University, Jinan 250300, ChinaSchool of Data and Computer Science, Shandong Women’s University, Jinan 250300, ChinaA Leslie population model for two generations is investigated by qualitative analysis and numerical simulation. For the different parameters a and b in the model, the dynamics of the system are studied, respectively. It shows many complex dynamic behavior, including several types of bifurcations leading to chaos, such as period-doubling bifurcations and Neimark–Sacker bifurcations. With the change of parameters, attractor crises and chaotic bands with periodic windows appear. The largest Lyapunov exponents are numerically computed and can verify the rationality of the theoretical analysis.http://dx.doi.org/10.1155/2020/8474715 |
| spellingShingle | Guo Feng Song Xinghao Bifurcation and Chaos of a Discrete-Time Population Model Discrete Dynamics in Nature and Society |
| title | Bifurcation and Chaos of a Discrete-Time Population Model |
| title_full | Bifurcation and Chaos of a Discrete-Time Population Model |
| title_fullStr | Bifurcation and Chaos of a Discrete-Time Population Model |
| title_full_unstemmed | Bifurcation and Chaos of a Discrete-Time Population Model |
| title_short | Bifurcation and Chaos of a Discrete-Time Population Model |
| title_sort | bifurcation and chaos of a discrete time population model |
| url | http://dx.doi.org/10.1155/2020/8474715 |
| work_keys_str_mv | AT guofeng bifurcationandchaosofadiscretetimepopulationmodel AT songxinghao bifurcationandchaosofadiscretetimepopulationmodel |