Conditions for Existence or Nonexistence of Positive Solutions to Elliptic General Model
Joon Hyuk Kang *
Department of Mathematics, Andrews University, USA.
William Tritch
Department of Mathematics, Andrews University, USA.
*Author to whom correspondence should be addressed.
Abstract
Two species of animals are competing or cooperating in the same environment. Under what
conditions do they coexist peacefully? Or under what conditions does either one of the two species
become extinct, that is, is either one of the two species excluded by the other? We investigate this
phenomenon from a mathematical point of view.
In this paper we concentrate on coexistence solutions of the competition or cooperation model
This system is the general model for the steady state of a competitive or cooperative interacting
system depending on growth conditions for g and h. The techniques used in this paper are supersub
solutions and some detailed properties of the solution of logistic equations (See [1]).
Keywords: Competition and cooperation system, coexistence state