期刊
NONLINEAR DYNAMICS
卷 80, 期 1-2, 页码 777-789出版社
SPRINGER
DOI: 10.1007/s11071-015-1905-8
关键词
Fractional calculus; Predator-prey; Hopf bifurcation; Stability; Time delay
资金
- NRF Grant Project (UAE University)
- DST SERB Project [SB/FTP/MS-045/2013]
In this paper, a fractional dynamical system of predator-prey with Holling type-II functional response and time delay is studied. Local and global stability of existence steady states and Hopf bifurcation with respect to the delay is investigated, with fractional-order 0 < alpha <= 1. It is found that Hopf bifurcation occurs when the delay passes through a sequence of critical values. Unconditionally, stable implicit scheme for the numerical simulations of the fractional-order delay differential model is introduced. The numerical simulations show the effectiveness of the numerical method and confirm the theoretical results. The presence of fractional order in the delayed differential model improves the stability of the solutions and enrich the dynamics of the model.
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