Global Existence and internal stabilization for a reaction-diffusion system posed on non coincident spatial domains
LANGLAIS, Michel
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
LANGLAIS, Michel
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
< Reduce
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Language
en
Article de revue
This item was published in
Discrete and Continuous Dynamical Systems - Series B. 2009-06-01, vol. 11, n° 4, p. 805-822
American Institute of Mathematical Sciences
English Abstract
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 nonnega- tive ...Read more >
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 nonnega- tive solutions is assessed. Then we investigate the stabilization of one of the solution components to zero via an internal control distributed on a small sub- domain while preserving nonnegativity of both components. Our results apply to predator-prey systems.Read less <
Keywords
Reaction-diffusion systems
non coincident spatial domains
global existence
stabilization
principal eigenvalue
predator-prey model
Origin
Hal imported