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

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 spr...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2019-06, Vol.546 (5), p.52055
Main Authors: Pusparani, Antika, Kusumawinahyu, Wuryansari Muharini, Trisilowati
Format: Article
Language:English
Subjects:
Mathematical models
Predator-prey simulation
Predators
Stability analysis
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Summary: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.
ISSN:1757-8981
1757-899X
DOI:10.1088/1757-899X/546/5/052055