Jambura Journal of Biomathematics (JJBM)
Volume 3, Issue 2: December 2022

Dynamics of a predator-prey model incorporating infectious disease and quarantine on prey

Anatasya Lahay (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo)
Muhammad Rezky Friesta Payu (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo)
Sri Lestari Mahmud (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo)
Hasan S Panigoro (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo)
Perry Zakaria (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo)

Article Info

Publish Date
31 Dec 2022

Abstract

In this article, the dynamics of a predator-prey model incorporating infectious disease and quarantine on prey population is discussed. We first analyze the existence conditions of all positive equilibrium points. Next, we investigate the local stability properties of the proposed model using the linearization method. We also determine the basic reproduction number using the next generation matrix. Finally, some numerical simulations are performed to validate the stability of each equilibrium point.

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Journal Info
Jambura Journal of Biomathematics (JJBM)
Website

Abbrev

JJBM

Publisher

Universitas Negeri Gorontalo

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 ...