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Stabilization strategies for some reaction–diffusion systems

✍ Scribed by Sebastian Aniţa; Michel Langlais

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
307 KB
Volume
10
Category
Article
ISSN
1468-1218

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✦ Synopsis

A two-component reaction-diffusion system is considered. The question of stabilizing to zero one of the components of the solution via an internal control acting on a small subdomain and preserving nonnegativity of both components is investigated. Our results apply to predator-prey systems.

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✍ S. Amraoui; S.Lalaoui Rhali 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 156 KB

In this work, we are concerned with the monotonicity and the stability study for quasi-monotone reaction-diffusion systems with delay and subject to Dirichlet boundary conditions. We first establish some invariance and comparison results for abstract retarded functional differential equations with n