期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 70, 期 12, 页码 3043-3056出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2015.10.017
关键词
Leslie-Gower predator-prey; Steady-state bifurcation; Hopf bifurcation; Double eigenvalue
资金
- National Natural Science Foundation of China [11271236]
- Program for New Century Excellent Talents in University of Ministry of Education of China [NCET-12-0894]
- Fundamental Research Funds for the central Universities [GK201401004]
We consider a diffusive Leslie-Gower predator-prey model subject to the homogeneous Neumann boundary condition. Treating the diffusion coefficient d as a parameter, the Hopf bifurcation and steady-state bifurcation from the positive constant solution branch are investigated. Moreover, the global structure of the steady-state bifurcations from simple eigenvalues is established by bifurcation theory. In particular, the local structure of the steady-state bifurcations from double eigenvalues is also obtained by the techniques of space decomposition and implicit function theorem. (C) 2015 Elsevier Ltd. All rights reserved.
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