Threshold dynamics and density function of a stochastic epidemic model with media coverage and mean-reverting Ornstein–Uhlenbeck process

B Zhou, D Jiang, B Han, T Hayat - Mathematics and Computers in …, 2022 - Elsevier
Infectious disease transmission, mainly affected by media coverage and stochastic
perturbations, has imposed great social financial burden on the community in the past few …

Threshold dynamics and probability density function of a stochastic avian influenza epidemic model with nonlinear incidence rate and psychological effect

B Zhou, D Jiang, Y Dai, T Hayat - Journal of Nonlinear Science, 2023 - Springer
In this paper, we examine a stochastic avian influenza model with a nonlinear incidence rate
within avian populations and the psychological effect within the human population, where …

Dynamics of a stochastic coronavirus (COVID-19) epidemic model with Markovian switching

B Boukanjime, T Caraballo, M El Fatini… - Chaos, Solitons & …, 2020 - Elsevier
In this paper, we analyze a stochastic coronavirus (COVID-19) epidemic model which is
perturbed by both white noise and telegraph noise incorporating general incidence rate …

Stationary distribution and density function expression for a stochastic SIQRS epidemic model with temporary immunity

B Zhou, D Jiang, Y Dai, T Hayat - Nonlinear Dynamics, 2021 - Springer
Recently, considering the temporary immunity of individuals who have recovered from
certain infectious diseases, Liu et al.(Phys A Stat Mech Appl 551: 124152,) proposed and …

Stationary distribution and extinction of a stochastic staged progression AIDS model with staged treatment and second-order perturbation

B Han, D Jiang, T Hayat, A Alsaedi, B Ahmad - Chaos, Solitons & Fractals, 2020 - Elsevier
Focusing on deterministic AIDS model proposed by Hyman (2000) and the detailed data
from the World Health Organization (WHO), there are three stages of AIDS process which …

Ergodic property, extinction and density function of a stochastic SIR epidemic model with nonlinear incidence and general stochastic perturbations

B Zhou, B Han, D Jiang - Chaos, Solitons & Fractals, 2021 - Elsevier
Focusing on the unpredictability of person-to-person contacts and the complexity of random
variations in nature, this paper will formulate a stochastic SIR epidemic model with nonlinear …

Ecological effects of predator harvesting and environmental noises on oceanic coral reefs

X Zhao, L Liu, H Wang, M Fan - Bulletin of Mathematical Biology, 2023 - Springer
Coral reefs provide refuge for prey and are important for the preservation of an oceanic
ecosystem. However, they have been experiencing severe destruction by environmental …

Stationary distribution, extinction and density function of a stochastic prey-predator system with general anti-predator behavior and fear effect

B Han, D Jiang - Chaos, Solitons & Fractals, 2022 - Elsevier
In this paper, we examine a stochastic prey-predator system with fear effect and general anti-
predator behavior. To tackle the impact of stochastic perturbations, we first propose a p …

Stationary distribution and probability density function of a stochastic SVIS epidemic model with standard incidence and vaccination strategies

B Zhou, D Jiang, Y Dai, T Hayat, A Alsaedi - Chaos, Solitons & Fractals, 2021 - Elsevier
Considering the great effect of vaccination and the unpredictability of environmental
variations in nature, a stochastic Susceptible-Vaccinated-Infected-Susceptible (SVIS) …

Stationary distribution and probability density function of a stochastic SIRSI epidemic model with saturation incidence rate and logistic growth

B Han, D Jiang, B Zhou, T Hayat, A Alsaedi - Chaos, Solitons & Fractals, 2021 - Elsevier
Focusing on the results of Rajasekar (2020) and the continuous dynamics of stochastic
differential equation (SDE) developed by Mao (1997), a stochastic SIRSI epidemic model …