In this paper, a stochastic epidemiological model is presented as an extension of a
compartmental SEIR model with random perturbations to analyze the dynamics of the …

For solving first-order linear and nonlinear differential equations, a new two-stage implicit–
explicit approach is given. The scheme's first stage, or predictor stage, is implicit, while the …

This paper studies the updated estimation method for estimating the transmission rate
changes over time. The models for the population dynamics under SEIR epidemic models …

The spread of COVID-19 disease is a worldwide issue that has impacted many countries.
Mathematical modeling can help us better understand this disease and predict how different …

Information dissemination has a significant impact on social development. This paper
considers that there are many stochastic factors in the social system, which will result in the …

We investigate the stochastic susceptible-infected-recovered (SIR) model of infectious
disease dynamics in the Fock-space approach. In contrast to conventional SIR models …

Infectious diseases are a major global public health concern. Precise modeling and
prediction methods are essential to develop effective strategies for disease control …

Understanding population migration is essential for controlling highly infectious diseases.
This paper studies the global dynamics of an infectious disease epidemic model …

We propose a deterministic SAIVRD model and a stochastic SARV model of the epidemic
COVID-19 involving asymptomatic infections and vaccinations to conduct data forecasts …

Mathematical models play a crucial role in evaluating real-life processes qualitatively and
quantitatively. They have been extensively employed to study the spread of diseases such …