Traveling wave solutions of a diffusive predator–prey model with modified Leslie–Gower and Holling-type II schemes

Proceedings of the Indian Academy of Sciences. Mathematical sciences

CHUFEN WU^1,2¹  YANLING TIAN^1,2² 

[1] Department of Mathematics, Foshan University, Foshan 528000, People’s Republic of China^2;School of Mathematics, South China Normal University, Guangzhou 510631, People’s Republic of China^1

关键词: Diffusive predator–prey model;    traveling wave solution;    modified Leslie– Gower;    Holling-type II scheme;    shooting method;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We study a diffusive predator–prey model with modified Leslie–Gower and Holling-II schemes with $D = 0$. We establish the existence of traveling wave solutions connecting a positive equilibrium and a boundary equilibrium via the ‘shooting method’, and the non-existence by the ‘eigenvalue method’. It should be emphasized that a threshold value $c^{\ast} = \sqrt{4\alpha}$ is found in our paper.

【 授权许可】

CC BY