Abstract
This paper deals with the age-structured model of a single species living in two identical pathes proposed in [12]. The dynamics of this model is still largely undetermined, and in this paper, we perform some bifurcation analysis to the model. By combining the normal form method with the center manifold theorem, we are able to determine the Hopf bifurcation properties. Finally, some numerical simulations are carried out to support the analytic results.
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Supported by the National Natural Science Foundation of China (No10471030) and Scientific Research of College of Mongolia (No NJ06024).
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Wan, A., Yu, C. Bifurcation analysis in an age-structured model of single species living in two identical patches. Differ Equ Dyn Syst 16, 101–120 (2008). https://doi.org/10.1007/s12591-008-0007-1
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DOI: https://doi.org/10.1007/s12591-008-0007-1