Finite-time dynamics of the fractional-order epidemic model: Stability, synchronization, and simulations
Iqbal M. Batiha, Osama Ogilat, Issam Bendib, Adel Ouannas, Iqbal H. Jebril, Nidal Anakira
Abstract
The aim of this paper is to explore finite-time synchronization in a specific subset of fractional-order epidemic reaction–diffusion systems. Initially, we introduce a new lemma for finite-time stability, which extends existing criteria and builds upon previous discoveries. Following this, we design effective state-dependent linear controllers. By utilizing a Lyapunov function, we derive new sufficient conditions to ensure finite-time synchronization within a predefined time frame. Lastly, we present numerical simulations to demonstrate the applicability and effectiveness of the proposed technique.
Topics & Concepts
Lemma (botany)Synchronization (alternating current)Stability (learning theory)Lyapunov functionComputer scienceControl theory (sociology)Function (biology)Frame (networking)Order (exchange)Applied mathematicsMathematicsTopology (electrical circuits)Nonlinear systemControl (management)PhysicsEcologyEvolutionary biologyTelecommunicationsQuantum mechanicsBiologyPoaceaeArtificial intelligenceEconomicsCombinatoricsFinanceMachine learningMathematical and Theoretical Epidemiology and Ecology ModelsNonlinear Dynamics and Pattern FormationEvolution and Genetic Dynamics