Analysis of the COVID-19 epidemic in french overseas department Mayotte based on a modified deterministic and stochastic SEIR model [PDF]
medRxiv, 2020 In order to anticipate a future trends in the development of the novel coronavirus COVID-19 epidemic starting early at march 13, in the french overseas department Mayotte, we study in this paper a deterministic and stochastic epidemic model through ...
S. Manou-Abi, J. Balicchi
semanticscholar +3 more sources
Stationary distribution and probability density for a stochastic SEIR-type model of coronavirus (COVID-19) with asymptomatic carriers [PDF]
Chaos, Solitons and Fractals, 2023 In this paper, we propose a stochastic SEIR-type model with asymptomatic carriers to describe the propagation mechanism of coronavirus (COVID-19) in the population.
Qun Liu, Daqing Jiang
semanticscholar +4 more sources
The stochastic SEIR model before extinction: Computational approaches
Applied Mathematics and Computation, 2015 We study a stochastic epidemic model of Susceptible-Exposed-Infective-Removed (SEIR) type and we quantify its behavior during an outbreak. More specifically, we model the epidemic by a continuous-time Markov chain and we develop efficient computational procedures for the distribution of the duration of an outbreak.
J. Artalejo +2 more
semanticscholar +7 more sources
Integer Versus Fractional Order SEIR Deterministic and Stochastic Models of Measles [PDF]
International Journal of Environmental Research and Public Health, 2020 In this paper, we compare the performance between systems of ordinary and (Caputo) fractional differential equations depicting the susceptible-exposed-infectious-recovered (SEIR) models of diseases. In order to understand the origins of both approaches as mean-field approximations of integer and fractional stochastic processes, we introduce the ...
Md Rafiul Islam +3 more
exaly +8 more sources
Dynamics of Nonlinear Stochastic SEIR Infectious Disease Model with Isolation and Latency Period [PDF]
SymmetryThis article establishes and studies a SEIR infectious disease model with higher-order perturbation. Firstly, we proved the existence and uniqueness of the overall positive solution of the model. Secondly, by constructing a Lyapunov function, we obtained
Wenbin Xu, Helong Liu, Chuangliang Qin
semanticscholar +3 more sources
A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate [PDF]
Scientific Reports, 2017 The stochastic SEIR infectious diseases model with saturated incidence rate is studied in this paper. By constructing appropriate Lyapunov functions, we show that there is a stationary distribution for the system and the ergodicity holds provided $${R}_ ...
Qixing Han, Liang Chen, Daqing Jiang
doaj +3 more sources
A stochastic SEIR model with Holling type II treatment and Ornstein–Uhlenbeck process
Kuwait Journal of ScienceThis paper investigates a stochastic SEIR epidemic model that incorporates both Holling type II treatment and an Ornstein-Uhlenbeck process (OUP). By constructing appropriate non-negative Lyapunov functions, we establish the existence and uniqueness of a
M. Mediani +4 more
doaj +3 more sources
AxiomsThis paper investigates a stochastic semi-parametric SEIR model characterized by infectivity during the incubation period and influenced by white noise perturbations. First, based on the theory of stochastic persistence, we derive the conditions required
Mei Li, Jing Zhang
doaj +3 more sources
Analysis of stochastic SEIR(S) models with random total populations and variable diffusion rates
Electronic Journal of Qualitative Theory of Differential EquationsA stochastic SEIR(S) model with random total population, overall saturation constant $K>0$ and general, local Lipschitz-continuous diffusion rates is presented. We prove the existence of unique, Markovian, continuous time solutions w.r.t.
Henri Schurz +2 more
doaj +3 more sources
Dynamics Analysis of a Class of Stochastic SEIR Models with Saturation Incidence Rate [PDF]
Symmetry, 2022 In this article, a class of stochastic SEIR models with saturation incidence is studied. The model is a symmetric and compatible distribution family. This paper studies various properties of the system by constructing Lyapunov functions.
Pengpeng Liu, Xuewen Tan
semanticscholar +3 more sources