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 operator,...
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 operator,...
A Volterra model with mutual interference concerning integrated pest management is proposed and analyzed. By using Floquet theorem and small amplitude perturbation method and comparison theorem, we show the existence of a globally asymptotically stable pest-eradication periodic solution. Further, we prove that when the stability of pest-eradication periodic solution is lost, the system is permanent and there exists a locally stable positive periodic solution which arises from the pest-eradication...
A Volterra model with mutual interference
concerning integrated pest management is proposed and analyzed. By
using Floquet theorem and small amplitude perturbation method and
comparison theorem, we show the existence of a globally
asymptotically stable pest-eradication periodic solution. Further,
we prove that when the stability of pest-eradication periodic
solution is lost, the system is permanent and there exists a
locally stable positive periodic solution which arises from the
pest-eradication...
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