Open AccessAnalisis dinamik model predator-prey tipe Gause dengan wabah penyakit pada prey
Author(s) -
Rusdianto Ibrahim,
Lailany Yahya,
Emli Rahmi,
Resmawan Resmawan
Publication year - 2021
Publication title -
jambura journal of biomathematics
Language(s) - English
Resource type - Journals
ISSN - 2723-0317
DOI - 10.34312/jjbm.v2i1.10363
Subject(s) - predation , extinction (optical mineralogy) , predator , population , equilibrium point , phase portrait , mathematics , biology , ecology , physics , mathematical analysis , bifurcation , demography , nonlinear system , paleontology , quantum mechanics , sociology , differential equation
This article studies the dynamics of a Gause-type predator-prey model with infectious disease in the prey. The constructed model is a deterministic model which assumes the prey is divided into two compartments i.e. susceptible prey and infected prey, and both of them are hunted by predator bilinearly. It is investigated that there exist five biological equilibrium points such as all population extinction point, infected prey and predator extinction point, infected prey extinction point, predator extinction point, and co-existence point. We find that all population extinction point always unstable while others are conditionally locally asymptotically stable. Numerical simulations, as well as the phase portraits, are given to support the analytical results.