In this paper, the main purpose is to reveal what kind of qualitative dynamical changes a continuous age-structured model may undergo as continuous reproduction is replaced with an annual birth pulse. Using the discrete dynamical system determined by the stroboscopic map we obtain an exact periodic solution of system with density-dependent fertility and obtain the threshold conditions for its stability. We also present formal proofs of the supercritical flip bifurcation at the bifurcation as well...
In this paper, the main purpose is to reveal what kind of qualitative dynamical
changes a continuous age-structured model may undergo as continuous reproduction is replaced with
an annual birth pulse. Using the discrete dynamical system determined by
the stroboscopic map we obtain an exact periodic solution of system with density-dependent fertility
and obtain the threshold conditions for its stability. We also present formal proofs of the supercritical
flip bifurcation at the bifurcation as...
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,...
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