Sanyi Tang,
Lansun Chen
(2010)
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...