Article Contents
Article Contents

# Global existence and internal stabilization for a reaction-diffusion system posed on non coincident spatial domains

• We consider a two-component Reaction-Diffusion system posed on non coincident spatial domains and featuring a reaction term involving an integral kernel. The question of global existence of componentwise nonnegative solutions is assessed. Then we investigate the stabilization of one of the solution components to zero via an internal control distributed on a small subdomain while preserving nonnegativity of both components. Our results apply to predator-prey systems.
Mathematics Subject Classification: Primary: 35K57, 35P05, 93C20, 92D25; Secondary: 35B37.

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