English

Global existence of solutions for some coupled systems of reaction-diffusion equations

Analysis of PDEs 2011-02-01 v2 Functional Analysis

Abstract

The aim of this work is to study the global existence of solutions for some coupled systems of reaction diffusion which describe the spread within a population of infectious disease. We consider a triangular matrix diffusion and we show that we can prove global existence of classical solutions for the nonlinearities of weakly exponential growth.

Keywords

Cite

@article{arxiv.1009.5687,
  title  = {Global existence of solutions for some coupled systems of reaction-diffusion equations},
  author = {Abdelmalek Salem and Youkana Amar},
  journal= {arXiv preprint arXiv:1009.5687},
  year   = {2011}
}

Comments

7 pages