We reformulate a stochastic epidemic model consisting of four human classes. We show that
there exists a unique positive solution to the proposed model. The stochastic basic …

This manuscript deals with an epidemic model with partial immunity having nonlinear
incidence and saturated treatment. Positivity and boundedness of the solutions have been …

The spread of infectious diseases is a major challenge in our contemporary world,
especially after the recent outbreak of Coronavirus disease 2019 (COVID‐19). The …

This study introduces a novel stochastic variant for the Susceptible-Infected-Recovered-
Susceptible (SIRS) system, focusing on perturbations involving the immunity decay rate. We …

This study presents a newly developed stochastic SIRI epidemic model, which combines
logistic growth with a saturation incidence rate. This research mainly examines the presence …

This study introduces a stochastic SIR (Susceptible–Infectious–Recovered) model on
complex networks, utilizing a scale-free network to represent inter-human contacts. The …

This article proposes a stochastic delayed SIRS epidemic model with nonlinear incidence to
describe disease transmission in a stochastic environment. First, it proves that the model has …

This research delves into the analysis of a stochastic Gilpin-Ayala model operating within an
anxious environment, encompassing the phenomenon of diffusion between two distinct and …

In this paper, we develop a stochastic predator–prey model driven by demographic
stochasticity, where prey are subject to predation by both generalist and specialist predators …

The saturation incidence is of vital importance in the spread of large-scale epidemics.
Although many achievements have been concerning deterministic epidemic models with …