Research
Communication | Open Access
Volume 2022 | Communication ID 6255
Volume 2022 | Communication ID 6255
Review on Constructing Lyapunov Function in Delayed Reaction Diffusion Systems |
Fatiha Najm, Radouane Yafia, M. A. Aziz Alaoui
Received |
Accepted |
Published |
May 02, 18:44 |
July 01, 2022 |
July 15, 2022 |
Abstract: Motivated by some biological and ecological problems given by a delay reaction diffusion system with Neumann boundary conditions; and knowing their associated Lyapunov functions for delay ordinary differential equations, we outline a method for determining their Lyapunov functions to prove the global stability. The method is based on adding integral terms to the original Lyapunov function for ordinary differential equations. The new approach is not general but it is applicable in a wide variety of delay reaction diffusion models with one discrete delay or more, distributed delay and ...