A mathematical model to examine the effect of quarantine on the spread of coronavirus

A Babaei, M Ahmadi, H Jafari, A Liya - Chaos, Solitons & Fractals, 2021 - Elsevier
In this study, we propose a mathematical model about the spread of novel coronavirus. This
model is a system of fractional order differential equations in Caputo's sense. The aim is to …

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 …

A simple SI-type model for HIV/AIDS with media and self-imposed psychological fear

I Ghosh, PK Tiwari, S Samanta, IM Elmojtaba… - Mathematical …, 2018 - Elsevier
Infectious diseases can have a large impact on society, as they cause morbidity, mortality,
unemployment, inequality and other adverse effects. Mathematical models are invaluable …

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 …

Role of media coverage and delay in controlling infectious diseases: A mathematical model

F Al Basir, S Ray, E Venturino - Applied Mathematics and Computation, 2018 - Elsevier
The aim of this paper is to investigate the effect of awareness coverage and delay in
controlling infectious diseases. We formulate an SIS model considering individuals' …

Modeling the effect of horizontal and vertical transmissions of HIV infection with Caputo fractional derivative

A Yusuf, UT Mustapha, TA Sulaiman, E Hincal… - Chaos, Solitons & …, 2021 - Elsevier
In this research, we propose a deterministic model to study the transmission dynamics of HIV
infection in the Caputo fractional operator context and analyze the impact of horizontal and …

[HTML][HTML] The impact of virus carrier screening and actively seeking treatment on dynamical behavior of a stochastic HIV/AIDS infection model

K Qi, D Jiang - Applied Mathematical Modelling, 2020 - Elsevier
To screen for virus carriers and for infected individuals to actively seek treatment are the key
factors to curb the spread of HIV/AIDS. We propose a stochastic HIV/AIDS model to evaluate …

Stationary solution, extinction and density function for a high-dimensional stochastic SEI epidemic model with general distributed delay

B Han, B Zhou, D Jiang, T Hayat, A Alsaedi - Applied Mathematics and …, 2021 - Elsevier
Abstract A stochastic SEI (Susceptible-Exposed-Infected) epidemic model with general
distributed delay is studied in this paper. First, we prove the existence and uniqueness of a …