논문KCI 등재
Global Existence of Solutions to the Prey-Predator System with a Single Cross-Diffusion
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Abstract
The prey-predator system with a single cross-diusionpressure is known to possess a local solution with the maximalexistence timeT 1 . By obtaining the bounds of W12 -norms ofthe local solution independent of T we establish the global existenceof the solution. And the long-time behaviors of the global solutionare analyzed when the diusion rates d1 and d2 are suciently large.
참고문헌 (14)
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관련 논문AI추천
Long-time Properties of Prey-Predator System with Cross-Diffusion심성아대한수학회 · 대한수학회논문집2006 · 제21권 제2호W½-estimates on the prey-predator systems with cross-diffusions and functional responses심성아대한수학회 · 대한수학회논문집2008 · 제23권 제2호Global solutions of the cooperative cross-fiffusion systems심성아한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제1호Positive coexistence for a simple food chain model with ratio-dependent functional response and cross-diffusion고원률, 안인경대한수학회 · 대한수학회논문집2006 · 제21권 제4호CONVERGENCE RESULTS FOR THE COOPERATIVE CROSS-DIFFUSION SYSTEM WITH WEAK COOPERATIONS심성아한국수학교육학회 · 이론수학과 교직수학2017 · 제24권 제4호STATIONARY PATTERNS FOR A PREDATOR-PREY MODEL WITH HOLLING TYPE Ⅲ RESPONSE FUNCTION AND CROSS-DIFFUSIONJia Liu, Zhigui Lin대한수학회 · 대한수학회보2010 · 제47권 제2호
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