The instability of periodic solutions for a population model with cross-diffusion

• Published in: AIMS mathematics Vol. 8; no. 12; pp. 29910 - 29924
• Main Authors: Li, Weiyu, Wang, Hongyan
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2023
• Subjects: cross-diffusion; periodic solutions; population model; refuge; turing pattern

This paper is concerned with a population model with prey refuge and a Holling type Ⅲ functional response in the presence of self-diffusion and cross-diffusion, and its Turing pattern formation problem of Hopf bifurcating periodic solutions was studied. First, we discussed the stability of periodic...