STABILITY ANALYSIS OF TIME DELAYED FRACTIONAL ORDER PREDATOR-PREY SYSTEM WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE

被引：10
作者：
Xu, Conghui [1 ]
Yu, Yongguang [1 ]
机构：
[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2019年 / 9卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Fractional order system; predator-prey model; time delay; Crowley-Martin functional response; stability analysis; GLOBAL ANALYSIS; BIFURCATION; MODEL;
D O I：
10.11948/2156-907X.20180175
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a fractional order predator-prey system with Crowley-Martin functional response. Firstly, we analyze the asymptotic stability of the system. At the same time, some sufficient conditions for the stability of the system are given. Then, we investigate the stability of the corresponding system with time delay and also discuss some sufficient conditions for the equilibrium stability of the system with time delay. In the end, the numerical simulations illustrate the accuracy of our conclusions.
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页码：928 / 942
页数：15
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