Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10427107 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 11 Pages |
Abstract
In this work we consider a 2à 2 system of semilinear partial differential equations of parabolic-type describing interactions between a prey population and a predator population, featuring a Holling-type II functional response to predation. We address the question of stabilizing the predator population to zero, upon using a suitable internal control supported on a small subdomain Ï of the whole spatial domain Ω, and acting on predators. We give necessary and sufficient conditions for this stabilizability result to hold.
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Authors
Bedr'Eddine Ainseba, Sebastian Aniţa,