Analysis of a prey-predator model with an epidemic disease in predators

Tagheie Karaji, Pegah; Nyamoradi, Nemat

doi:10.22034/cmde.2025.65742.3038

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	Analysis of a prey-predator model with an epidemic disease in predators
Computational Methods for Differential Equations
مقاله 24، دوره 14، شماره 4، دی 2026، صفحه 1912-1928 اصل مقاله (656.97 K)
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, a Holling type II functional response, and a 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 the transcritical bifurcation using the Sotomayor theorem. As the infection rate increases, the system's asymptotic behavior near the disease-free equilibrium approaches that of the positive equilibrium, and the system undergoes 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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Analysis of a prey-predator model with an epidemic disease in predators