Open AccessThe Stability Analysis of the diseased predator-prey model incorporating migration in the contaminated environment
Author(s) -
Murtadha M. Abdulkadhim,
Hassan Fadhil Al-Husseiny
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1897/1/012034
Subject(s) - predator , uniqueness , stability (learning theory) , lyapunov function , predation , mathematics , bounded function , population , control theory (sociology) , biological system , ecology , mathematical optimization , biology , mathematical analysis , computer science , nonlinear system , physics , demography , control (management) , quantum mechanics , machine learning , sociology , artificial intelligence
We proposed and analyzed a predator–prey model. The disease effects in predator due to pollution in environment, as well the immigration factor effected is discussed. We assumed that, the population are divided into three parts prey, susceptible predator and infected predator. Firstly, the existence, uniqueness and bounded-ness of the solution of the model are discussed. Secondly, we studied the existence and local stability of all equilibrium points. Furthermore, some of the Sufficient conditions of the global stability of the positive equilibrium are established using suitable Lyapunov functions. Finally, those theoretical results are demonstrated with numerical simulations.