We introduce the concept of a digital twin by using Stieltjes differential equations. A precise
mathematical definition of solution to the problem is presented. We also analyze the …

Compartmental systems like the well‐famed SIR, SEIR, SQIR, SVIR, and their variants are
efficient tools for the mathematical modeling of infectious illnesses, and they permit us to get …

In this paper, we consider a stochastic SIRS epidemic model with nonlinear incidence and
Markovian switching. By using the stochastic calculus background, we establish that the …

In this paper, we consider a stochastic SIS epidemic model with vaccination in random
switching environment. The system is formulated as a hybrid stochastic differential equation …

A stochastic SIQS model via isolation with regime-switching is studied in this paper. The
range of positive solution of the model is presented. Threshold to determine extinction and …

In this paper we analyze and classify the dynamics of SIQRS epidemiological models with
susceptible, infected, quarantined, and recovered classes, where the recovered individuals …

The present paper investigates the dynamical behaviors of a stochastic SIRS epidemic
model with telegraphic noise and Lévy noise. First, we establish the existence of a unique …

We study a switching heroin epidemic model in this paper, in which the switching of supply
of heroin occurs due to the flowering period and fruiting period of opium poppy plants …

We studied a class of a stochastic hybrid SIQRS model with nonlinear incidence and vertical
transmission and obtained a threshold∆ to distinguish behaviors of the model. Concretely …

We introduce the concept of a digital twin by using Stieltjes differential equations. A precise
mathematical definition of solution to the problem is presented. We also analyze the …