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All Journal Jambura Journal of Biomathematics (JJBM)
Perry Zakaria
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo
Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

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Dynamics of a predator-prey model incorporating infectious disease and quarantine on prey Anatasya Lahay; Muhammad Rezky Friesta Payu; Sri Lestari Mahmud; Hasan S Panigoro; Perry Zakaria
Jambura Journal of Biomathematics (JJBM) Volume 3, Issue 2: December 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v3i2.17162

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.
Co-Authors Anatasya Lahay Hasan S. Panigoro Muhammad Rezky F. Payu Sri Lestari Mahmud