Stationary distribution and density function of a stochastic SVIR epidemic model

D Li, F Wei, X Mao - Journal of the Franklin Institute, 2022 - Elsevier
We consider the long-term properties of a stochastic SVIR epidemic model with saturation
incidence rates and logistic growth in this paper. We firstly derive the fitness of a unique …

Dynamic analysis and optimal control of a stochastic COVID-19 model

G Zhang, Z Li, A Din, T Chen - Mathematics and Computers in Simulation, 2024 - Elsevier
In this paper, we construct a stochastic SAIR (Susceptible–Asymptomatic–Infected–
Removed) epidemic model to study the dynamic and control strategy of COVID-19. The …

Detection of multiple waves for COVID-19 and its optimal control through media awareness and vaccination: study based on some Indian states

T Sardar, SS Nadim, S Rana - Nonlinear Dynamics, 2023 - Springer
COVID-19 is a highly infectious disease, and in very recent times, it has shown a massive
impact throughout the globe. Several countries faced the COVID-19 infection waves multiple …

Quarantine alone or in combination with treatment measures to control COVID-19

M Lakhal, R Taki, M El Fatini, T El Guendouz - The Journal of Analysis, 2023 - Springer
Due to its complex nature, Coronavirus has perplexed many researchers worldwide and
endangered the lives of people across the globe forcing them to take social distancing and …

Global stability of an SAIRS epidemic model with vaccinations, transient immunity and treatment

AA Essak, B Boukanjime - Nonlinear Analysis: Real World Applications, 2023 - Elsevier
We consider an SAIRS epidemic model with vaccinations and treatment, where
asymptomatic and symptomatic infectious individuals are considered in the transmission of …

Optimal control of a class of Caputo fractional systems

S Das, V Tripathi - The Journal of Analysis, 2024 - Springer
This article introduces a broad formulation of fractional optimal control issues characterized
by a class of Caputo fractional systems within Hilbert spaces. Through a variational method …

[PDF][PDF] The Impact of Stochastic Environment on Psychological Health Dynamics

F Rao, A Wang, Z Wang - J. Biol. Syst, 2024 - researchgate.net
A mathematical model has been proposed to consider two distinct forms of psychological
pressure that arise due to the COVID-19 situation and their impact on individuals' lives …

Dynamical Analysis of a Stochastic Ebola Model with Nonlinear Incidence Functions

SF Nasrin, C Rajivganthi - Journal of Nonlinear Science, 2025 - Springer
The stochastic Ebola epidemic model with a combination of nonlinear incidence functions is
analyzed to gain deeper insights into the complex dynamics of disease transmission. We …

Stochastic Analysis for the Dual Virus Parallel Transmission Model with Immunity Delay

J Yang, S Ma, J Ma, J Ran, X Bai - Journal of Computational …, 2024 - liebertpub.com
In this article, the qualitative properties of a stochastic dual virus parallel transmission model
with immunity delay are analyzed. First, we use Lyapunov theory to study the existence and …

Ergodicity and stationary distribution of a stochastic SIRI epidemic model with logistic birth and saturated incidence rate

A Mdaghri, M Lakhal, R Taki, ME Fatini - The Journal of Analysis, 2024 - Springer
The present study aims to investigate the dynamic behavior of a stochastic SIRI model with
logistic birth and saturated incidence rate. First, we show that the solution of the proposed …