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 asymptoti...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.展开更多
文摘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.
