Dynamical Analysis of Infected Predator-Prey Model with Saturated Incidence Rate

9th Annual Basic Science International Conference 2019

自然科学（总论）

Pusparani, Antika^1 ; Kusumawinahyu, Wuryansari Muharini^1 ; Trisilowati^1

Dept. of Mathematics, Brawijaya University, Malang, Indonesia^1

关键词: Behavioural changes;    Disease spread;    Disease transmission;    Dynamical analysis;    Equilibrium point;    Healthy population;    Local stability;    Predator-prey modeling;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/546/5/052055/pdf
DOI  :  10.1088/1757-899X/546/5/052055

学科分类：自然科学（综合）

来源: IOP

【 摘 要 】

A predator-prey model with disease in both populations is proposed to illustrate the possibility of disease transmission between prey and predator through contact and predation. We used saturated incidence rate which takes behavioural changes of healthy population into consideration when disease spreads around them. The existence of eight non-negative equilibrium points is analysed and their local stability has been investigated. Numerical simulations are given to illustrate analytic results.