Dynamic analysis of fractional-order singular Holling type-II predator–prey system

作者：

Highlights：

• Presenting a new model of predator–prey system with Holling type-II functional response in the form of fractional-order singular (FOS) differential equations.

• Providing the solvability conditions and mathematical behaviors of the model from a local stability point of view.

• Investigation of the existence of singularity induced bifurcation and transcritical bifurcation due to variation of parameters.

• Introducing a numerical method for achieving a solution of the represented FOS system to confirm the theoretical results.

摘要

•Presenting a new model of predator–prey system with Holling type-II functional response in the form of fractional-order singular (FOS) differential equations.•Providing the solvability conditions and mathematical behaviors of the model from a local stability point of view.•Investigation of the existence of singularity induced bifurcation and transcritical bifurcation due to variation of parameters.•Introducing a numerical method for achieving a solution of the represented FOS system to confirm the theoretical results.

论文关键词：Dynamic analysis,Fractional-order singular system,Predator–prey,Bifurcation

论文评审过程：Received 2 December 2016, Revised 14 March 2017, Accepted 24 May 2017, Available online 13 June 2017, Version of Record 13 June 2017.

论文官网地址：https://doi.org/10.1016/j.amc.2017.05.067