A discrete predator-prey system with age-structure for predator and natural barriers for prey

Sanyi Tang; Lansun Chen

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A discrete predator-prey system with age-structure for predator and natural barriers for prey

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We analyze a two species discrete predator-prey model in which the prey disperses between two patches of a heterogeneous environment with barriers and the mature predator disperses between the patches with no barrier. By using the discrete dynamical system generated by a monotone, concave maps for subcommunity of prey, we obtain the subcommunity of prey exists an equilibrium which attracts all positive solutions, and using the stability trichotomy results on the monotone and continuous...

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