Dynamical behavior of a fractional-order prey-predator model with infection and harvesting

被引：4
|
作者：
Moustafa, Mahmoud [1 ]
Abdullah, Farah Aini [2 ]
Shafie, Sharidan [1 ]
机构：
[1] Univ Teknol Malaysia, Fac Sci, Dept Math Sci, Skudai, Malaysia
[2] Univ Sains Malaysia, Sch Math Sci, George Town, Malaysia
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2022年 / 68卷 / 06期
关键词：
Prey-predator model; Infectious diseases; Fractional differential; Monod-Haldane functional response; Local stability; Numerical simulations; ECO-EPIDEMIOLOGIC MODEL; BIFURCATION; STABILITY; SYSTEM;
D O I：
10.1007/s12190-022-01728-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is concerned with a fractional-order prey-predator model with disease in predator species and prey harvesting. The nonlinear incidence rate and Monod-Haldane functional response for interactions between species are considered. Some preliminary results are established. Sufficient conditions are derived to ensure the stability of equilibrium points. The proposed fractional-order model is very sensitive to varying the fractional-order, prey harvesting and initial conditions. Numerical simulations are given to illustrate theoretical findings.
引用
收藏
页码：4777 / 4794
页数：18
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