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Liu, Shengqiang; Xie, Xizhuang; Tang, Jianliang

Competing population model with nonlinear intraspecific regulation and maturation delays. (English) Zbl 1280.92053

Int. J. Biomath. 5, No. 3, Article ID 1260007, 22 p. (2012).
Summary: This paper considers the combined effects of the nonlinear intra-specific regulation and maturation delays on the two-species competition model. Dynamical behaviors of the model are studied, and sharp global asymptotical stability criteria for the coexistence equilibrium as well as the excluding equilibria are established. It is shown that increase of the maturation delay of one species has negative effect on its permanence and a sufficiently large maturation delay will directly lead to its extinction, and that variation of the intra-specific regulation parameter of one species may change the surviving or extinction behaviors of its competitor.

Cited in 6 Documents

MSC:

92D25 Population dynamics (general)
34D23 Global stability of solutions to ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
34C60 Qualitative investigation and simulation of ordinary differential equation models

Keywords:

competition; delay; nonlinear intra-specific regulation; global asymptotical stability; Lyapunov functional
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References:

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