Asymptotic behavior and multiplicity for a diffusive Leslie–Gower predator–prey system with Crowley–Martin functional response
作者： Haixia Li
DOI: 10.1016/J.CAMWA.2014.07.018
关键词: Leslie gower 、 Statistical physics 、 Bifurcation 、 Mathematics 、 Multiplicity (chemistry) 、 Mathematical analysis 、 Functional response 、 Uniqueness 、 Fixed-point index 、 Bifurcation theory
摘要: Abstract A diffusive predator–prey system with modified Leslie–Gower and Crowley–Martin functional response is considered. The extinction permanence of the time-dependent are determined by virtue comparison principle. Then, sufficient necessary conditions for existence coexistence states obtained. Furthermore, stability, uniqueness exact multiplicity investigated means combination perturbation theory, bifurcation theory degree theory. Our results indicate that c 1 have an effect on stability states. Finally, some numerical simulations presented to verify complement theoretical results.
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