Dynamical Behavior of a Delayed Holling Type-II Predator-Prey Model with Predator Cannibalism
In this article, we propose the Holling type-II predator-prey model involving cannibalism and gestation delay in predators. We study the existence of all possible equilibrium points of the proposed model. We give the condition for the local stability and Hopf bifurcation analysis for the nondelayed...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/4071375 |
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| author | R. Lavanya S. Vinoth K. Sathiyanathan Zeric Njitacke Tabekoueng P. Hammachukiattikul R. Vadivel |
| author_facet | R. Lavanya S. Vinoth K. Sathiyanathan Zeric Njitacke Tabekoueng P. Hammachukiattikul R. Vadivel |
| author_sort | R. Lavanya |
| collection | DOAJ |
| description | In this article, we propose the Holling type-II predator-prey model involving cannibalism and gestation delay in predators. We study the existence of all possible equilibrium points of the proposed model. We give the condition for the local stability and Hopf bifurcation analysis for the nondelayed model. Next, we also establish the local stability and Hopf bifurcation analysis for the corresponding delayed model. Finally, we discuss how cannibalism and delay play an important role in stabilizing and destabilizing the proposed system both theoretically and numerically. |
| format | Article |
| id | doaj-art-e4595c378b8445a293c524105b534881 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e4595c378b8445a293c524105b5348812025-02-03T01:19:59ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/4071375Dynamical Behavior of a Delayed Holling Type-II Predator-Prey Model with Predator CannibalismR. Lavanya0S. Vinoth1K. Sathiyanathan2Zeric Njitacke Tabekoueng3P. Hammachukiattikul4R. Vadivel5Department of MathematicsDepartment of Computer ScienceDepartment of MathematicsDepartment of Electrical and Electronic EngineeringDepartment of MathematicsDepartment of MathematicsIn this article, we propose the Holling type-II predator-prey model involving cannibalism and gestation delay in predators. We study the existence of all possible equilibrium points of the proposed model. We give the condition for the local stability and Hopf bifurcation analysis for the nondelayed model. Next, we also establish the local stability and Hopf bifurcation analysis for the corresponding delayed model. Finally, we discuss how cannibalism and delay play an important role in stabilizing and destabilizing the proposed system both theoretically and numerically.http://dx.doi.org/10.1155/2022/4071375 |
| spellingShingle | R. Lavanya S. Vinoth K. Sathiyanathan Zeric Njitacke Tabekoueng P. Hammachukiattikul R. Vadivel Dynamical Behavior of a Delayed Holling Type-II Predator-Prey Model with Predator Cannibalism Journal of Mathematics |
| title | Dynamical Behavior of a Delayed Holling Type-II Predator-Prey Model with Predator Cannibalism |
| title_full | Dynamical Behavior of a Delayed Holling Type-II Predator-Prey Model with Predator Cannibalism |
| title_fullStr | Dynamical Behavior of a Delayed Holling Type-II Predator-Prey Model with Predator Cannibalism |
| title_full_unstemmed | Dynamical Behavior of a Delayed Holling Type-II Predator-Prey Model with Predator Cannibalism |
| title_short | Dynamical Behavior of a Delayed Holling Type-II Predator-Prey Model with Predator Cannibalism |
| title_sort | dynamical behavior of a delayed holling type ii predator prey model with predator cannibalism |
| url | http://dx.doi.org/10.1155/2022/4071375 |
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