Stability and Hopf bifurcation in a reaction-diffusion predator-prey system with interval biological parameters and stage structure

作者：Zhao, Hongyong^*; Wang, Ling

来源：Nonlinear Dynamics, 2015, 79(3): 1797-1816.

DOI：10.1007/s11071-014-1775-5

• Predator-prey system
• Reaction-diffusion
• Hopf bifurcation
• Stage structure
• Interval biological parameter

This paper deals with a delayed reaction-diffusion predator-prey system combined with stage structure for prey and interval biological parameters. By taking the sum of delays as the bifurcation parameter, the local stability of the equilibrium points is investigated and the condition of Hopf bifurcation is obtained. In succession, using the normal form theory and the center manifold reduction for partial functional differential equations, we derive the explicit formulas determining stability, direction and other properties of bifurcating periodic solutions. Some numerical simulations are also included to illustrate our theoretical results.

• 出版日期2015-2
• 单位南京大学