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

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Anatasya Lahay, Muhammad Rezky Friesta Payu, Sri Lestari Mahmud, Hasan S. Panigoro, Perry Zakaria

2022 Jambura Journal of Biomathematics Vol. 3 Issue 2 Article Cited by 4 SDG 14 Quartile

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. © 2022 by the Author(s).

Affiliations

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo, Bone Bolango, 96554, Indonesia; Biomathematics Research Group, Department of Mathematics, Universitas Negeri Gorontalo, Bone Bolango, 96554, Indonesia

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