Jambura Journal of Biomathematics (JJBM)
Volume 1, Issue 1: June 2020

Analisis Kestabilan Model Predator-Prey dengan Infeksi Penyakit pada Prey dan Pemanenan Proporsional pada Predator

Siti Maisaroh (Department of Mathematics, Universitas Negeri Gorontalo)
Resmawan Resmawan (Department of Mathematics, Universitas Negeri Gorontalo)
Emli Rahmi (Department of Mathematics, Universitas Negeri Gorontalo)

Article Info

Publish Date
16 Jun 2020

Abstract

The dynamics of predator-prey model with infectious disease in prey and harvesting in predator is studied. Prey is divided into two compartments i.e the susceptible prey and the infected prey. This model has five equilibrium points namely the all population extinction point, the infected prey and predator extinction point, the infected prey extinction point, and the co-existence point. We show that all population extinction point is a saddle point and therefore this condition will never be attained, while the other equilibrium points are conditionally stable. In the end, to support analytical results, the numerical simulations are given by using the fourth-order Runge-Kutta method.

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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 ...