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.
Tagheie karaji, P. and Nyamoradi, N. (2025). Analysis of a Prey-Predator model with an epidemic disease in predators. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2025.65742.3038
MLA
Tagheie karaji, P. , and Nyamoradi, N. . "Analysis of a Prey-Predator model with an epidemic disease in predators", Computational Methods for Differential Equations, , , 2025, -. doi: 10.22034/cmde.2025.65742.3038
HARVARD
Tagheie karaji, P., Nyamoradi, N. (2025). 'Analysis of a Prey-Predator model with an epidemic disease in predators', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2025.65742.3038
CHICAGO
P. Tagheie karaji and N. Nyamoradi, "Analysis of a Prey-Predator model with an epidemic disease in predators," Computational Methods for Differential Equations, (2025): -, doi: 10.22034/cmde.2025.65742.3038
VANCOUVER
Tagheie karaji, P., Nyamoradi, N. Analysis of a Prey-Predator model with an epidemic disease in predators. Computational Methods for Differential Equations, 2025; (): -. doi: 10.22034/cmde.2025.65742.3038
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