Open AccessDynamical Analysis of Infected Predator-Prey Model with Saturated Incidence Rate
Author(s) -
Antika Pusparani,
Wuryansari Muharini Kusumawinahyu,
Trisilowati
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/546/5/052055
Subject(s) - predation , predator , population , stability (learning theory) , incidence (geometry) , mathematics , statistics , ecology , biology , control theory (sociology) , demography , computer science , geometry , control (management) , artificial intelligence , machine learning , sociology
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.