Some new results on the permanence and extinction of nonautonomous Gilpin–Ayala type competition model with delays

In this paper, we consider a delayed nonautonomous n-species Gilpin–Ayala type competitive system, which is more general and more realistic then classical Lotka–Volterra type competition model. For each r⩽n, we establish a series of criteria under which r of the species in the system are permanent while the remaining n-r species are driven to extinction.

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