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Analysis of a Prey-Predator model with an epidemic disease in predators | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 02 شهریور 1404 اصل مقاله (1.41 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.65742.3038 | ||
| نویسندگان | ||
| Pegah Tagheie karaji* ؛ Nemat Nyamoradi | ||
| Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah, Iran. | ||
| چکیده | ||
| In this paper, a Prey-Predator model with an epidemic disease in predators, Holling functional response type II and the saturated incidence rate is studied. The system’s equilibria and the basic reproduction number of the model $R_0$ are obtained. If $R_0 < 1$, the disease-free equilibrium is locally asymptotically stable and if $R_0 > 1$, the positive equilibrium is locally asymptotically stable. We studied Transcritical bifurcation by the Sotomayor theorem. As the infection rate increases, the asymptotic behavior of the system near the disease-free equilibrium approaches the positive equilibrium and the system has a transcritical bifurcation. We examined the sensitivity index for the basic reproduction number $R_0$. Finally, we perform numerical simulations to support our theoretical results. | ||
| کلیدواژه‌ها | ||
| Prey-Predator model؛ Saturated incidence rate؛ Stability؛ Transcritical bifurcation؛ Holling functional response type II | ||
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آمار تعداد مشاهده مقاله: 46 تعداد دریافت فایل اصل مقاله: 78 |
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