Electronic Journal of Differential Equations (Jan 2008)

Existence of global solutions for a predator-prey model with cross-diffusion

  • Shenghu Xu

Journal volume & issue
Vol. 2008, no. 06
pp. 1 – 14

Abstract

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In this article, we prove the existence of global classical solutions for a prey-predator model when the space dimension n<10. Under certain conditions on the coefficients of the reaction functions, the convergence of solutions is established for the system with large diffusion by constructing a Lyapunov function.

Keywords