Effect of random movement and cooperative hunting in the prey-predator system:A dynamical approach  

作　　者：Shivam Teekam Singh Mukesh Kumar 

机构地区：[1]Department of Mathematics Graphic Era Deemed to be University 566/6,Bell Road,Society Area,Clenent Town Dehradun,Uttarakhand 248002,India [2]Department of Computer Science and Engineering Graphic Era Deemed to be University 566/6,Bell Road,Society Area,Clement Town Dehradun,Uttarakhand 248002,India

出　　处：《International Journal of Biomathematics》2024年第3期211-240,共30页生物数学学报（英文版）

摘　　要：Self-diffusion prerequisite is obtained as the spreading approach of biological populations.Cooperative hunting is a common behavior in predator populations that promotes predation and the coexistence of the prey-predator system.On the other side,the Allee effect among prey may cause the system to become unstable.In this paper,a difusive prey predator system with cooperative hunting and the weak Allee effect in prey populations is discussed.The linear stability and Hopf-bifurcation analysis had been used to examine the system's stability.From the spatial stability of the system,the conditions for Turing instability have been derived.The multiple-scale analysis has been used to derive the amplitude equations of the system.The stability analysis of these amplitude equations leads to the formation of Turing patterns.Finally,numerical simulations are used to analyze spatial patterns forming in 1-D and 2-D.The studies indicate that the model can generate a complex pattern structure and that self-diffusion has a drastic impacton species distribution.

关 键 词：Prey predator system hunting cooperation Allee effect HOPF-BIFURCATION diffusive instability amplitudeequation 

分 类 号：O17[理学—数学]