arXiv subjects

Youkana Amar

Publications and source records attributed to Youkana Amar.

2 recordsLinked to original sources

arXiv2011

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

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.

math.AP↗

arXiv2010

Global existence of solutions for Gierer-Meinhardt system with three equations

This paper deals with an Gierer-Meinhardt model, with three substances, formed Reaction-Diffusion system with fractional reaction. To prove global existence for solutions of this system presents difficulties at the boundednees of fractionar term. The purpose of this paper is to prove the existence of a global solution using a boundary functionel. Our technique is based on the construction of Lyapunov functionel.

math.AP↗