On Global Existence of the Fractional Reaction-Diffusion System’s Solution

Global Existence of Solution for Reaction Diffusion Systems with a Full Matrix of Diffusion Coefficients

The goal of this work is to study the global existence in time of solutions for somecoupled systems of reaction diffusion which describe the spread within a population of infectiousdisease. We consider a full matrix of diffusion coefficients and we show the global existence of thesolutions.Full text References[1] N. D. Alikakos, L-Bounds of Solutions of Reaction-Diffusion Eq...

Global existence for semilinear reaction-diffusion systems on evolving domains.

We present global existence results for solutions of reaction-diffusion systems on evolving domains. Global existence results for a class of reaction-diffusion systems on fixed domains are extended to the same systems posed on spatially linear isotropically evolving domains. The results hold without any assumptions on the sign of the growth rate. The analysis is valid for many systems that comm...

On Existence and Nonexistence Global Solutions of Reaction-Diffusion Equations

We consider the initial value problem for the reaction-diffusion equation ut = ∆u + f(u). In this paper we show the existence and nonexistence of the global solutions in time. Especially, we extend the condition of the nonlinear terms to more general. We have the results of the existence and the nonexistence for the equation with the nonlinear term f satisfying lim infs→0 f(s)/sp > 0 and lim su...

Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives

We give some necessary conditions for local and global existence of a solution to reaction-diffusion system of type (FDS) with temporal and spacial fractional derivatives. As in the case of single equation of type (STFE) studied by M. Kirane et al. (2005), we prove that these conditions depend on the behavior of initial conditions for large |x|.

Global existence and fast-reaction limit in reaction-diffusion systems with cross effects