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Dynamics of a predator-prey system with prey refuge | ||
| Computational Methods for Differential Equations | ||
| مقاله 9، دوره 7، شماره 3، مهر 2019، صفحه 454-474 اصل مقاله (309.79 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Zeynab Lajmiri* ؛ Iman Orak؛ Samane Hosseini | ||
| Sama technical and vocational training college, Izeh Branch, Islamic Azad University, Izeh, Iran | ||
| چکیده | ||
| In this paper, we investigate the dynamical complexities of a prey predator model prey refuge providing additional food to predator. We determine dynamical behaviours of the equilibria of this system and characterize codimension 1 and codimension 2 bifurcations of the system analytically. Hopf bifurcation conditions are derived analytically. We especially approximate a family of limit cycles emanating from a Hopf point. The analytical results are in well agreement with the numerical simulation results. Our bifurcation analysis indicates that the system exhibits numerous types of bifurcation phenomena, including Hopf, and Bogdanov-Takens bifurcations. | ||
| کلیدواژهها | ||
| Hopf bifurcation؛ Bogdanov-Takens bifurcation؛ Dynamical behavior؛ Limit cycles | ||
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آمار تعداد مشاهده مقاله: 484 تعداد دریافت فایل اصل مقاله: 559 |
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