文献类型： 会议论文

第一作者： Hasan S. Panigoro

作者： Hasan S. Panigoro ¹ ; Emli Rahmi ¹ ; Olumuyiwa James Peter ² ;

作者机构： 1.Biomathematics Research Group, Department of Mathematics, Universitas Negeri Gorontalo, Bone Bolango 96554, Indonesia

2.Department of Epidemiology and Biostatistics, School of Public Health, University of Medical Sciences, Ondo City, Ondo State, Nigeria

会议名称： International Symposium on Biomathematics

主办单位：

页码： 1-10

摘要： We propose the discrete-time predator-prey model incorporating fear and Allee effect on prey based on the famous Rosenzweig-MacArthur model with Caputo fractional-order derivative. The piecewise constant arguments is applied to the given continuous model to obtain the discrete-time model. Some dynamical behaviors are identified analytically such as the feasible fixed points and their local stability. We explore the dynamical behaviors numerically to investigate the existence of several complex phenomena namely forward, transcritical, flip, and Neimark-sacker bifurcations as well as the existence of bistability conditions. We find that the time step size, Allee threshold, and the predation rate play a major role in changing the complexity of the dynamics given by the interaction between prey and predator.

分类号： q-332