Existence of Steady-State Solutions for a One-Predator–Two-Prey System
- 1 May 1990
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 21 (3) , 647-659
- https://doi.org/10.1137/0521034
Abstract
This paper discusses the existence of strictly positive solutions (in all three components) of the three-dimensional system of elliptic partial differential equations subject to Dirichlet boundary conditions, and models the situation in which a predator feeds on two-prey species. Results are obtained by the use of degree theory in cones, positive operators, and sub- and supersolution techniques.Keywords
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