Population diffusion in a two-patch environment.
A model of a single-species population diffusing in a two-patch environment is proposed. It is shown that there exists a positive, monotonic, continuous steady-state solution with continuous flux, in the cases of both reservoir and no-flux boundary conditions, that is asymptotically stable. In the case of patches with equal carrying capacities, it is shown that the uniform steady state is globally asymptotically stable.
Freedman
H I
HI
Shukla
J B
JB
Takeuchi
Y
Y
D004463:Ecology; D004777:Environment; D008433:Mathematics; D008954:Models, Biological; D011157:Population Dynamics