[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2020.33.1.19

EXISTENCE OF POSITIVE SOLUTIONS OF PREDATOR-PREY SYSTEMS WITH DEGENERATE DIFFUSION RATES

Ryu, Kimun (Department of Mathematics Education, Cheongju University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.33, no.1, 2020 , pp. 19-32 More about this Journal

Abstract

We discuss the coexistence of positive solutions to certain strongly-coupled predator-prey elliptic systems under the homogeneous Dirichlet boundary conditions. The sufficient condition for the existence of positive solutions is expressed in terms of the spectral property of differential operators of nonlinear Schrödinger type which reflects the influence of the domain and nonlinearity in the system. Furthermore, applying the obtained results, we investigate the sufficient conditions for the existence of positive solutions of a predator-prey system with degenerate diffusion rates.

Keywords

predator-prey systems; positive solutions; degenerate diffusion rates;

Citations & Related Records

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