Weak-renormalized solutions for predator–prey system

Abstract

In this article, we consider the predator–prey system with Dirichlet boundary conditions which is used in the modelling of ecology. Under the assumptions of no growth conditions and integrable data, we prove the existence of weak-renormalized solutions to the predator–prey system.

Keywords:

• predator–prey system
• weak solution
• renormalized solution

AMS Subject Classifications:

• 35K65
• 92D25

Acknowledgements

The authors thank the referees for useful comments and suggestion which led to improvement in the quality of this article.