Some coexistence and extinction results for a 3-species ecological system. (English) Zbl 0832.35070

Feng, Wei; Lu, Xin

Differ. Integral Equ. 8, No. 3, 617-626 (1995).

A reaction-diffusion system of Volterra-Lotka type is considered, that models a two-predator, one prey situation. A sufficient condition is given for the existence of a positive steady-state solution and a positive global attractor, as well as some information about the limiting behaviour of the time-dependent solution, in relation to the semi-trivial and trivial steady states.

Reviewer: J.H.Swart (Durban)

MSC:

35K57	Reaction-diffusion equations
35B40	Asymptotic behavior of solutions to PDEs
35K60	Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations

Keywords:

two predators and one prey; Lotka-Volterra interaction