ZHANG Conghui, WNAG Zhiguo*, LI Yanling
(School of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710119, Shaanxi, China)
Abstract:
The predator-prey model is investigated under homogeneous Dirichlet boundary conditions. Firstly, the existence of the local bifurcation solutions is proved. Secondly, the local bifurcation can be extended to global bifurcation and the jumps of the bifurcation solutions are established, meanwhile, the stability of the local bifurcation solutions are discussed. Finally, some numerical simulations are shown to support the analytical results.
KeyWords:
predator-prey; bifurcation; stability; numerical simulations
