Global stability of a population dispersal in a two-patch environment. (English) Zbl 0892.92026

Wang, Wendi; Chen, Lansun; Lu, Zhengyi

Dyn. Syst. Appl. 6, No. 2, 207-215 (1997).

Summary: A nonautonomous system is studied which models a population dispersal between two patches of a heterogeneous environment. Under the assumption that all the parameters of the model are continuous and bounded, sufficient conditions are established for global stability of the system.

MSC:

92D40	Ecology
34D05	Asymptotic properties of solutions to ordinary differential equations
34D99	Stability theory for ordinary differential equations
34C11	Growth and boundedness of solutions to ordinary differential equations

Keywords:

nonautonomous system; population dispersal; heterogeneous environment; global stability