논문KCI 등재
Positive coexistence for a simple food chain model with ratio-dependent functional response and cross-diffusion
대한수학회 (The Korean Mathematical Society)|2006.10|대한수학회논문집 (Communications of the KMS)|제21권 제4호|pp. 701-717
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Abstract
The positive coexistence of a simple food chain modelwith ratio-dependent functional response and cross-diusion is dis-cussed. Especially, when a cross-diusion is small enough, the exis-tence of positive solutions of the system concerned can be expected.The extinction conditions for all three interacting species and forone or two of three species are studied. Moreover, when a cross-diusion is suciently large, the extinction of prey species withcross-diusion interaction to predator occurs. The method em-ployed is the comparison argument for elliptic problem and xedpoint theory in a positive cone on a Banach space.
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