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Positive solutions of an elliptic system arising from a model in evolutionary ecology. (English) Zbl 0741.92012
This paper is concerned with the existence and nonexistence of positive solutions to an elliptic system satisfying various Dirichlet boundary conditions. This system consists of the steady-state equations of a parabolic system which model the growth and spread of a particular gene and population living in a bounded region. The model takes into account the fact that the fitness of the individuals in the population may depend on the population size.
Reviewer: S.Anita (Iaşi)

MSC:
92D15 Problems related to evolution
35J55 Systems of elliptic equations, boundary value problems (MSC2000)
35Q92 PDEs in connection with biology, chemistry and other natural sciences
35B40 Asymptotic behavior of solutions to PDEs
35B50 Maximum principles in context of PDEs
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