Some Remarks on Some Strongly Coupled Reaction-Diffusion Equations

TL;DR

This paper uses operator theory to analyze the existence of solutions in strongly coupled reaction-diffusion systems, with applications in biology and chemistry.

Contribution

It provides a mathematical framework for proving solution existence in coupled reaction-diffusion equations using operator theory.

Findings

Existence of solutions under certain assumptions

Application to biological models

Application to chemical models

Abstract

The primary goal of this paper is to characterize solutions to coupled reaction-diffusion systems. Indeed, we use operators theory to show that under suitable assumptions, then the solutions to the reaction-diffusion equations exist. As applications, we consider a mathematical model arising in Biology and in Chemistry.