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Dynamics of a Stochastic SEIR Epidemic Model with Vertical Transmission and Standard Incidence [PDF]

Mathematics
A stochastic SEIR epidemic model with standard incidence and vertical transmission was developed in this work. The primary goal of this study was to determine whether stochastic environmental disturbances affect dynamic features of the epidemic model ...
Ruichao Li, Xiurong Guo
doaj   +6 more sources

A Stochastic Semi-Parametric SEIR Model with Infectivity in an Incubation Period [PDF]

Mathematics
This paper introduces stochastic disturbances into a semi-parametric SEIR model with infectivity in an incubation period. The model combines the randomness of disease transmission and the nonlinearity of transmission rate, providing a flexible framework ...
Jing Zhang, Tong Jin
doaj   +6 more sources

Asymptotic Behavior of Multigroup SEIR Model with Nonlinear Incidence Rates under Stochastic Perturbations [PDF]

Discrete Dynamics in Nature and Society, 2020
In this paper, the asymptotic behavior of a multigroup SEIR model with stochastic perturbations and nonlinear incidence rate functions is studied. First, the existence and uniqueness of the solution to the model we discuss are given.
Feng Wang, Shan Wang, Youhua Peng
doaj   +4 more sources

Pontryagin’s Maximum Principle for Optimal Control of Stochastic SEIR Models [PDF]

Complexity, 2020
In this paper, we study the necessary conditions as well as sufficient conditions for optimality of stochastic SEIR model. The most distinguishing feature, compared with the well-studied SEIR model, is that the model system follows stochastic ...
Ruimin Xu, Rongwei Guo
doaj   +3 more sources

Dynamic Properties for a Second-Order Stochastic SEIR Model with Infectivity in Incubation Period and Homestead-Isolation of the Susceptible Population [PDF]

Fractal and Fractional, 2023
In this article, we analyze a second-order stochastic SEIR epidemic model with latent infectious and susceptible populations isolated at home. Firstly, by putting forward a novel inequality, we provide a criterion for the presence of an ergodic ...
Chun Lu, Honghui Liu, Junhua Zhou
doaj   +3 more sources

Dynamics of a Stochastic Multigroup SEIR Epidemic Model [PDF]

Journal of Applied Mathematics, 2014
To be more precise about the real world activity, a stochastic multigroup SEIR epidemic model is formulated. we define the basic reproduction number R0S and show that it is a sharp threshold for the dynamics of SDE model.
Xiaojing Zhong, Feiqi Deng
doaj   +5 more sources

Sequential Data Assimilation of the Stochastic SEIR Epidemic Model for Regional COVID-19 Dynamics [PDF]

Bulletin of Mathematical Biology, 2020
Newly emerging pandemics like COVID-19 call for predictive models to implement precisely tuned responses to limit their deep impact on society. Standard epidemic models provide a theoretically well-founded dynamical description of disease incidence.
Ralf Engbert, M. Rabe, Reinhold Kliegl, S. Reich   +3 more
semanticscholar   +9 more sources

Modeling the second wave of COVID-19 infections in France and Italy via a stochastic SEIR model. [PDF]

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2020
COVID-19 has forced quarantine measures in several countries across the world. These measures have proven to be effective in significantly reducing the prevalence of the virus. To date, no effective treatment or vaccine is available.
Davide Faranda, T. Alberti
semanticscholar   +9 more sources

Evolutionary Dynamics of Stochastic SEIR Models with Migration and Human Awareness in Complex Networks [PDF]

Complexity, 2020
In this paper, a stochastic SEIR (Susceptible-Exposed-Infected-Removed) epidemic dynamic model with migration and human awareness in complex networks is constructed. The awareness is described by an exponential function.
Yue Zhang, Yuxuan Li
doaj   +4 more sources

Stationary distribution of a stochastic SEIR model with infectivity in the incubation period and homestead-isolation on the susceptible under regime switching

Journal of Biological Dynamics
This paper is concerned with a stochastic SEIR model with infectivity in the incubation period and homestead-isolation on the susceptible, which is perturbed by white and colour noises.
Ying He, Bo Bi
doaj   +3 more sources