[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2006.43.2.443

GLOBAL EXISTENCE OF SOLUTIONS TO THE PREY-PREDATOR SYSTEM WITH A SINGLE CROSS-DIFFUSION

Shim, Seong-A (DEPARTMENT OF MATHEMATICS, SUNGSHIN WOMEN'S UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.43, no.2, 2006 , pp. 443-459 More about this Journal

Abstract

The prey-predator system with a single cross-diffusion pressure is known to possess a local solution with the maximal existence time $T\;{\leq}\;{\infty}$ . By obtaining the bounds of $W\array_2^1$ -norms of the local solution independent of T we establish the global existence of the solution. And the long-time behaviors of the global solution are analyzed when the diffusion rates $d_1\;and\;d_2$ are sufficiently large.

Keywords

prey-predator system; single cross-diffusion; self-diffusion; calculus inequalities; $W\array_2^1$ -bound; long-time behavior;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)
Times Cited By SCOPUS : 2

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