Fluctuation and Noise Letters
Numerical Treatment of Stochastic-Deterministic SIRS Epidemic Differential Model with Impact of Saturated Incidence Using Implicit/Stochastic RK and Euler–Maruyama Computing Paradigm
This paper involves the numerical exploration of both stochastic and deterministic SIRS epidemic models with saturated incidence rates. The implicit Runge–Kutta method, Euler–Maruyama method and stochastic Runge–Kutta methods are employed to analyze the dynamic patterns of the epidemic. The deterministic model is formulated using an ordinary differential system and is deep-seated in the well-established classical SIRS epidemic framework. A stochastic model is formulated by incorporating the elements of white noise …