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

Conghui Xu; Yongguang Yu

doi:10.11948/2156-907X.20180175

2019 Volume 9 Issue 3

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Conghui Xu, Yongguang Yu. STABILITY ANALYSIS OF TIME DELAYED FRACTIONAL ORDER PREDATOR-PREY SYSTEM WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE[J]. Journal of Applied Analysis & Computation, 2019, 9(3): 928-942. doi: 10.11948/2156-907X.20180175

Citation:

Conghui Xu, Yongguang Yu. STABILITY ANALYSIS OF TIME DELAYED FRACTIONAL ORDER PREDATOR-PREY SYSTEM WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE[J]. Journal of Applied Analysis & Computation, 2019, 9(3): 928-942. doi: 10.11948/2156-907X.20180175

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

Conghui Xu¹,
Yongguang Yu^1, ,

1.
Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, China

Corresponding author: Email address: ygyu@bjtu.edu.cn (Y. Yu)
Fund Project: The authors were supported by National Natural Science Foundation of China (No. 61772063)

Abstract

Abstract

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.
- Fractional order system /
- predator-prey model /
- time delay /
- Crowley-Martin functional response /
- stability analysis
MSC: 34D20, 92D25

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References

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