Uniform boundedness of solutions for a predator-prey system with diffusion and chemotaxis
- Resource Type
- article
- Authors
- Dáger, René; Navarro, Víctor; Negreanu, Mihaela
- Source
- Comptes Rendus. Mathématique, Vol 358, Iss 1, Pp 103-108 (2020)
- Subject
- Mathematics
QA1-939
- Language
- English
French
- ISSN
- 1778-3569
In this Note we study a nonlinear system of reaction-diffusion differential equations consisting of an ordinary differential equation coupled to a fully parabolic chemotaxis system. This system constitutes a mathematical model for the evolution of a prey-predator biological population with chemotaxis and dormant predators. Under suitable assumptions we prove the global in time existence and boundedness of classical solutions of this system in any space dimension.