Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function
Pengcheng Shao, Stanford Shateyi
Abstract
This paper addresses the global stability analysis of the SEIRS epidemic model with a nonlinear incidence rate function according to the Lyapunov functions and Volterra-Lyapunov matrices. By creating special conditions and using the properties of Volterra-Lyapunov matrices, it is possible to recognize the stability of the endemic equilibrium (E1) for the SEIRS model. Numerical results are used to verify the presented analysis.
Topics & Concepts
Lyapunov functionMathematicsStability (learning theory)Nonlinear systemControl theory (sociology)Applied mathematicsComputer sciencePhysicsControl (management)Artificial intelligenceQuantum mechanicsMachine learningMathematical and Theoretical Epidemiology and Ecology ModelsEvolution and Genetic DynamicsFractional Differential Equations Solutions