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Numerical Analysis of Prey Refuge Effects on the Stability of Holling Type III Four-Species Predator Prey System

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Publication Date
2023-06-29
Author
Odhiambo, Francis
Aminer, Titus
Okelo, Benard
Manyala, Julius
Type
Article
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Odhiambo Francis, Titus Aminer, Benard Okelo and Julius Manyala (2023) Numerical Analysis of Prey Refuge Effects on the Stability of Holling Type III Four-Specis Predator-Prey System.

Abstract/Overview

The dynamic behavior of a multi-species system that includes a prey refuge and a Holling type III functional response is examined in this work. The pre-requisites for the presence of the equilibrium points, as well as their local and global stabilities, for the suggested system are analyzed and derived. The Routh-Hurwitz criterion and the eigenvalue technique are used to study the local stabilities. On the other hand, the global stabilities have been studied using the Lyapunov technique. Numerical simulations have been carried out using the Matlab ode45 solver software to verify the analytical results. The findings show that refuge plays a significant part in improving the dynamical stability of the system

Subject/Keywords
Dynamical system; Lyapunov technique; Routh-Hurwitz criterion; Eigenvalue
Publisher
Scientific Research Publishing
Permalink
http://ir.jooust.ac.ke:8080/xmlui/handle/123456789/13032
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