For EDITORS

For READERS

All Issues

Vol.10, 2020
Vol.9, 2019
Vol.8, 2018
Vol.7, 2017
Vol.6, 2016
Vol.5, 2015
Vol.4, 2014
Vol.3, 2013
Vol.2, 2012
Vol.1, 2011
Volume 9, Number 3, 2019, Pages 928-942                                                                DOI:10.11948/2156-907X.20180175
Stability analysis of time delayed fractional order predator-prey system with Crowley-Martin functional response
Conghui Xu,Yongguang Yu
Keywords:Fractional order system, predator-prey model, time delay, Crowley-Martin functional response, stability analysis.
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.
PDF      Download reader