Dynamical Behaviours of Stage-Structured Fractional-Order Prey-Predator Model with Crowley-Martin Functional Response

被引：1
|
作者：
Mahdi, Wala'a A. [1 ]
Al-Nassir, Sadiq [1 ]
机构：
[1] Univ Baghdad, Coll Sci, Dept Math, Baghdad, Iraq
来源：
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 2022卷
关键词：
DIFFERENTIAL-EQUATIONS; GLOBAL STABILITY; INTERFERENCE; SYSTEM;
D O I：
10.1155/2022/6818454
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the dynamic behaviour of the stage-structure prey-predator fractional-order derivative system is considered and discussed. In this model, the Crowley-Martin functional response describes the interaction between mature preys with a predator. The existence, uniqueness, non-negativity, and the boundedness of solutions are proved. All possible equilibrium points of this system are investigated. The sufficient conditions of local stability of equilibrium points for the considered system are determined. Finally, numerical simulation results are carried out to confirm the theoretical results.
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页数：11
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