Spatiotemporal stability and sensitivity analysis of a holling type-II prey predator system with Allee effect

14th International Conference on Science, Engineering and Technology

自然科学;工业技术

Basava Kumar, G.^1 ; Srinivas, M.N.^1

Department of Mathematics, School of Advanced Sciences, VIT University, Vellore

Tamil Nadu

632014, India^1

关键词: Analytical investigations;    Analytical results;    Diffusion analysis;    Existence and stability;    Prey-predator models;    Prey-predator systems;    Spatiotemporal stability;    Theoretical aspects;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/263/4/042108/pdf
DOI  :  10.1088/1757-899X/263/4/042108

来源: IOP

【 摘 要 】

In this article, an analytical investigation is carried out on two species prey predator model having Holling type II interaction with Allee effect. We analysed the local and global behaviour of the interior equilibrium point.The theoretical aspects such as the investigation of the existence and stability of the equilibriums as well as the oscillatory and sensitivity behaviours of the corresponding diffusive system have been pursued. Also, analysed the effect of white noise and diffusion analysis of the proposed system. Finally, all the analytical results are interpreted ecologically and compared with the numerical results generated by MATLAB.