Li Xu, Zhongxiang Chang, Fengxia Mai, "Bifurcation in a Discrete Two Patch Logistic Metapopulation Model," WSEAS Transactions on Mathematics, vol. 13, pp. 907-915, 2014, DOI:
Li Xu, Zhongxiang Chang, Fengxia Mai. Bifurcation in a Discrete Two Patch Logistic Metapopulation Model.
WSEAS Transactions on Mathematics. 2014;13:907-915.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Bifurcation in a Discrete Two Patch Logistic Metapopulation Model
Authors: , ,
Abstract: In this paper, local bifurcation of a discrete two patch logistic metapopulation is discussed. By the central manifold method, flip bifurcation can be analyzed at the positive fixed point from the viewpoint of the dynamical system, and the system can not undergo a fold bifurcation. Simulations on this model show the discrete model can have rich dynamical behaviors. The state feedback control is done to stabilize chaotic orbits at an unstable fixed point. Then the eigenvalues of the corresponding diffusion system with Dirichlet boundary conditions are found for future bifurcation analysis.
Keywords:
Logistic metapopulation, Flip bifurcation, Fold bifurcation, Central manifold, State feedback control, Eigenvalue
Pages: 907-915 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #88 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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