Spatiotemporal patterns of a diffusive plant–herbivore model with toxin-determined functional responses: Multiple bifurcations

• Published in: Mathematics and computers in simulation Vol. 187; pp. 337 - 356
• Main Authors: Xiang, Nan, Wu, Qidong, Wan, Aying
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.09.2021
• Subjects: Hopf bifurcations; Plant–herbivore model; Steady state bifurcations; Toxin-determined functional response; Toxin-determined functional response; Steady state bifurcations; Plant–herbivore model; Hopf bifurcations

In this paper, a homogeneous diffusive plant–herbivore model with toxin-determined functional response subject to the homogeneous Neumann boundary condition in the one dimensional spatial open bounded domain is considered. By using Hopf bifurcation theorem and steady state bifurcation theorem due to...