Spatiotemporal Patterns of a Homogeneous Diffusive Predator–Prey System with Holling Type III Functional Response

• Published in: Journal of dynamics and differential equations Vol. 29; no. 4; pp. 1383 - 1409
• Main Author: Wang, Jinfeng
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.12.2017; Springer Nature B.V
• Subjects: Applications of Mathematics; Bifurcation theory; Mathematics; Mathematics and Statistics; Ordinary Differential Equations; Partial Differential Equations; Stability; Steady state; Leray–Schauder degree; Hopf bifurcation; Global stability; Steady state solution

The dynamics of a diffusive predator–prey system with Holling type-III functional response subject to Neumann boundary conditions is investigated. The parameter region for the stability and instability of the unique constant steady state solution is derived, and the existence of time-periodic orbits...