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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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  14. "Long-time Properties of prey-predator system with cross-diffusion", 21(2), pp.293~320 (2006)

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