About dynamics of some discrete reaction diffusion models
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Date
2024
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Publisher
University of Oum El Bouaghi
Abstract
This study explores the understanding of the dynamic behavior of the discrete reaction-diffusion system for the SIR epidemiological model. This is achieved through an analytical analysis of stability around equilibrium points related to disease and disease absence. Moreover, the research aims to determine the conditions ensuring global stability using the direct Lyapunov method. Furthermore, the synchronization of the system with both a nonlinear and a linear controller is conducted. Finally, numerical simulation is provided to confirm the credibility of the results.