Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 275
Feedback Stabilization of the Lotka-Volterra Diffusion Model by bilinear controls
Ilyasse Lamrani, Imad El Harraki, Fatima-Zahrae El Alaoui, M. A Aziz-Alaoui
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 29, 2022
March 03, 2239
April 15, 2239

Abstract: The question of why individuals disperse has taken the interests of ecologists and evolutionary biologists for many decades. Up to now, by the virtue of mathematical models, there is a wide range of researches directed to better understanding of the mechanism behind the evolution of dispersal; see [2, 3, ] and references therein. In this work, we consider a system of semilinear parabolic partial differential equations with Dirichlet boundary data arising from the Volterra-Lotka model with diffusion. We establish the exponential stabilization of the considered system, which models situations ...