Global solutions for a general predator-prey model with cross-diffusion effects

Advances in Difference Equations

Lina Zhang¹  Shengmao Fu¹ 

[1] Department of Mathematics, Northwest Normal University, Lanzhou, P.R. China

关键词: global solution;    predator-prey;    cross-diffusion;   

DOI  :  10.1186/1687-1847-2012-117

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This work investigates a general Lotka-Volterra type predator-prey model with nonlinear cross-diffusion effects representing the tendency of a predator to get closer to prey. Using the energy estimate method, Sobolev embedding theorems and the bootstrap arguments, the existence of global solutions is proved when the space dimension is less than 10. MSC:35K57, 35B35.

【 授权许可】

CC BY