Abstract
We study the permanence of periodic predator-prey system with general nonlinear functional responses and stage structure for both predator and prey and obtain that the predator and the prey species are permanent.
Highlights
Recommended by Stephen ClarkWe study the permanence of periodic predator-prey system with general nonlinear functional responses and stage structure for both predator and prey and obtain that the predator and the prey species are permanent
An important and ubiquitous problem in predator-prey theory and related topics in mathematical ecology concerns the long-term coexistence of species
Where a t, b t, c t, d t, f t, m t, n t, hi t, ki t, pi t, qi t, and gi t i 1, 2 are all continuous positive ω-periodic functions; x1 t and x2 t denote the density of immature and mature prey species at time t, respectively; y1 t represents the density of the predator that preys on immature prey; y1 t represents the density of the other predator that preys on mature prey at time t
Summary
We study the permanence of periodic predator-prey system with general nonlinear functional responses and stage structure for both predator and prey and obtain that the predator and the prey species are permanent.
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