Jambura Journal of Biomathematics (JJBM)
Volume 4, Issue 2: December 2023

The Dynamics of a Predator-Prey Model Involving Disease Spread In Prey and Predator Cannibalism

Ah, Nurul Imamah (Unknown)
Kusumawinahyu, Wuryansari Muharini (Unknown)
Suryanto, Agus (Unknown)
Trisilowati, Trisilowati (Unknown)



Article Info

Publish Date
31 Dec 2023

Abstract

In this article, dynamics of predator prey model with infection spread in prey and cannibalism in predator is analyzed. The model has three populations, namely susceptible prey, infected prey, and predator. It is assumed that there is no migration in both prey and predator populations. The dynamical analysis shows that the model has six equilibria, namely the trivial equilibrium point, the prey extinction point, the disease free and predator extinction equilibrium point, the disease-free equilibrium point, the predator extinction equilibrium point, and the coexistence equilibrium point. The first equilibrium is unstable, and the other equilibria conditionally local asymptotically stable. The positivity and boundedness of the solution are also shown. The analytical result is supported by numerical simulation. It is shown that in such a high cannibalization the coexistence equilibrium is locally asymptotically stable.

Copyrights © 2023






Journal Info

Abbrev

JJBM

Publisher

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

Description

Jambura Journal of Biomathematics (JJBM) aims to become the leading journal in Southeast Asia in presenting original research articles and review papers about a mathematical approach to explain biological phenomena. JJBM will accept high-quality article utilizing mathematical analysis to gain ...