Global solutions for a general strongly coupled prey–predator model

doi:10.1016/j.aml.2008.06.050

Applied Mathematics Letters

Volume 22, Issue 10, October 2009, Pages 1508-1512

https://doi.org/10.1016/j.aml.2008.06.050 Get rights and content

Under an Elsevier user license

open archive

Abstract

This work investigates global solutions for a general strongly coupled prey–predator model that involves (self-)diffusion and cross-diffusion, where the cross-diffusion is of the form $v / (1 + u^{ℓ})$ with $ℓ \geq 1$ . Very few mathematical results are known for such models, especially in higher spatial dimensions.

Keywords

Prey–predator models

Diffusion

Cross-diffusion

Global solutions

Cited by (0)

^☆: The first and third authors are supported by the National Natural Science Foundation of China Grants 10471022 and 10601011, the Natural Science Foundation of Jiangsu Province Grant BK2006088, and the NUS ARF Grant R-146-000-088-112. The second author is supported by the NUS ARF Grant R-146-000-088-112. Part of the work was done during the first and third authors’ visit to the National University of Singapore (NUS).

Applied Mathematics Letters

Global solutions for a general strongly coupled prey–predator model☆

Abstract

Keywords