Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7221983 | Nonlinear Analysis: Real World Applications | 2018 | 27 Pages |
Abstract
This paper studies the stationary solutions of a prey-predator model with population flux by attractive transition. We first obtain a bifurcation branch (connected set) of positive solutions which connects two semitrivial solutions. Next we derive the asymptotic behavior of positive solutions as the coefficient α of the population flux tends to infinity. A main result implies that positive solutions can be classified into two types as αââ. In one type of them, as αââ, positive solutions of the prey-predator model approach positive solutions of a competition model with equal diffusion coefficients.
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Authors
Kazuhiro Oeda, Kousuke Kuto,