Dynamic Behaviors of a Leslie-Gower Ecoepidemiological Model
A Leslie-Gower ecoepidemic model with disease in the predators is constructed and analyzed. The total population is subdivided into three subclasses, namely, susceptible predator, infected predator, and prey population. The positivity, boundness of solutions, and the existence of the equilibria are...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/169242 |
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| _version_ | 1832558968307712000 |
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| author | Aihua Kang Yakui Xue Jianping Fu |
| author_facet | Aihua Kang Yakui Xue Jianping Fu |
| author_sort | Aihua Kang |
| collection | DOAJ |
| description | A Leslie-Gower ecoepidemic model with disease in the predators is constructed and analyzed. The total population is subdivided into three subclasses, namely, susceptible predator, infected predator, and prey population. The positivity, boundness of solutions, and the existence of the equilibria are studied, and the sufficient conditions of local asymptotic stability of the equilibria are obtained by the Routh-Hurwitz criterion. We analyze the global stability of the interior equilibria by using Lyapunov functions. It is observed that a Hopf bifurcation may occur around the interior equilibrium. At last, numeric simulations are performed in support of the feasibility of the main result. |
| format | Article |
| id | doaj-art-de8a370bea8a4561a2e04b15d08c9e07 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-de8a370bea8a4561a2e04b15d08c9e072025-02-03T01:31:13ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/169242169242Dynamic Behaviors of a Leslie-Gower Ecoepidemiological ModelAihua Kang0Yakui Xue1Jianping Fu2College of Mechatronic Engineering, North University of China, Taiyuan, Shanxi 030051, ChinaCollege of Mechatronic Engineering, North University of China, Taiyuan, Shanxi 030051, ChinaCollege of Mechatronic Engineering, North University of China, Taiyuan, Shanxi 030051, ChinaA Leslie-Gower ecoepidemic model with disease in the predators is constructed and analyzed. The total population is subdivided into three subclasses, namely, susceptible predator, infected predator, and prey population. The positivity, boundness of solutions, and the existence of the equilibria are studied, and the sufficient conditions of local asymptotic stability of the equilibria are obtained by the Routh-Hurwitz criterion. We analyze the global stability of the interior equilibria by using Lyapunov functions. It is observed that a Hopf bifurcation may occur around the interior equilibrium. At last, numeric simulations are performed in support of the feasibility of the main result.http://dx.doi.org/10.1155/2015/169242 |
| spellingShingle | Aihua Kang Yakui Xue Jianping Fu Dynamic Behaviors of a Leslie-Gower Ecoepidemiological Model Discrete Dynamics in Nature and Society |
| title | Dynamic Behaviors of a Leslie-Gower Ecoepidemiological Model |
| title_full | Dynamic Behaviors of a Leslie-Gower Ecoepidemiological Model |
| title_fullStr | Dynamic Behaviors of a Leslie-Gower Ecoepidemiological Model |
| title_full_unstemmed | Dynamic Behaviors of a Leslie-Gower Ecoepidemiological Model |
| title_short | Dynamic Behaviors of a Leslie-Gower Ecoepidemiological Model |
| title_sort | dynamic behaviors of a leslie gower ecoepidemiological model |
| url | http://dx.doi.org/10.1155/2015/169242 |
| work_keys_str_mv | AT aihuakang dynamicbehaviorsofalesliegowerecoepidemiologicalmodel AT yakuixue dynamicbehaviorsofalesliegowerecoepidemiologicalmodel AT jianpingfu dynamicbehaviorsofalesliegowerecoepidemiologicalmodel |