Qualitative analysis on a diffusive predator-prey model with toxins

• Published in: Journal of mathematical analysis and applications Vol. 486; no. 1; p. 123868
• Main Authors: Yan, Xiao, Li, Yanling, Guo, Gaihui
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.06.2020
• Subjects: Bifurcation; Multiplicity; Predator-prey model; Uniform persistence; Uniqueness; Bifurcation; Uniform persistence; Predator-prey model; Multiplicity; Uniqueness

This paper is concerned with the diffusive predator-prey model with toxins subject to Dirichlet boundary conditions. The uniform persistence of positive solution is given under certain conditions. In addition, by the Liapunov-Schmidt method, the existence and stability of the bifurcation solution fr...