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

Abdelmalek Salem; Youkana Amar

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arXiv · 1009.5687

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

Abdelmalek Salem·Youkana Amar

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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.

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Abdelmalek Salem, Youkana Amar. 2011-01-29. Global existence of solutions for some coupled systems of reaction-diffusion equations. https://arxiv.org/abs/1009.5687

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