Generalized predator-prey biological model, Logistic equations, Maximum principles, Non-existence and existence of positive solutions
The non-existence and existence of positive solutions for the generalized predator-prey biological model for two species of animals Δu + ug(u,v) = 0 in Ω, Δv + vh(u,v) = 0 in Ω, u = v = 0 on ∂Ω, is investigated in this paper. The techniques used in this paper are from elliptic theory, the upper-lower solution method, the maximum principles and spectrum estimates. The arguments also rely on detailed properties of solutions to logistic equations. © 2009 Academic Publications.
International Journal of Pure and Applied Mathematics
Ibanez, Brian; Hyuk Kang, Joon; and Lee, Jungho, "Non-negative Steady State Solutions to an Elliptic Biological Model" (2009). Faculty Publications. 1838.
Retrieved February 17, 2021 from https://ijpam.eu/contents/2009-53-3/7/7.pdf