THE NON-EXISTENCE AND EXISTENCE OF POSITIVE SOLUTION TO THE COOPERATION MODEL WITH GENERAL COOPERATION RATES
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The non-existence and existence of the positive solution for the generalized cooperation biological model for two species of animals ¢u + u(a ¡ bu + g(v)) = 0 in ¢v + v(d + h(u) ¡ cv) = 0 in u = v = 0 on @; are investigated. The techniques used in this paper are elliptic the- ory, upper-lower solutions, maximum principles and spectrum esti- mates. The arguments also rely on some detailed properties for the solution of logistic equations.
Abstract
The non-existence and existence of the positive solution for the generalized cooperation biological model for two species of animals ¢u + u(a ¡ bu + g(v)) = 0 in ¢v + v(d + h(u) ¡ cv) = 0 in u = v = 0 on @; are investigated. The techniques used in this paper are elliptic the- ory, upper-lower solutions, maximum principles and spectrum esti- mates. The arguments also rely on some detailed properties for the solution of logistic equations.
참고문헌 (5)
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