Hopf bifurcations in a reaction–diffusion population model with delay effect
نویسندگان
چکیده
A reaction-diffusion population model with a general time-delayed growth rate per capita is considered. From a careful analysis of the characteristic equation, the stability of the positive steady state solution and the existence of supercritical Hopf bifurcation from the positive steady state solution are obtained via the implicit function theorem, where the time delay is used as the bifurcation parameter. The general results are applied to a “food-limited” population model with diffusion and delay effects.
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