The Effect of Alternative Resource and Refuge on the Dynamical Behavior of Food Chain Model

被引:2
|
作者
Hadi, Z. M. [1 ]
Bahlool, D. K. [1 ]
机构
[1] Univ Baghdad, Dept Math, Coll Sci, Baghdad, Iraq
来源
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2023年 / 17卷 / 04期
关键词
food chain; refuge; alternative food; stability; Lyapunov method; bifurcation; PREY-PREDATOR MODEL; SYSTEM;
D O I
10.47836/mjms.17.4.13
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This article examines and proposes a dietary chain model with a prey shelter and alternative food sources. It is anticipated that mid-predators' availability is positively correlated with the number of refuges. The solution's existence and exclusivity are examined. It is established that the solution is bounded. It is explored whether all potential equilibrium points exist and are locally stable. The Lyapunov approach is used to investigate the equilibrium points' worldwide stability. Utilizing a Sotomayor theorem application, local bifurcation is studied. Numerical simulation is used to better comprehend the dynamics of the model and define the control set of parameters.
引用
收藏
页码:731 / 754
页数:24
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