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Stability Analysis of an SEIR Epidemic Model with Stochastic Perturbation and Numerical Simulation

International Journal of Nonlinear Sciences and Numerical Simulation, 2013
Abstract An SEIR epidemic model with constant immigration and random fluctuation around the endemic equilibrium is considered. As a special case, a deterministic system discussed by Li et al. will be incorporated into the stochastic version given by us.
Fan, Xiaoming, Wang, Zhigang
openaire   +4 more sources

Dynamic analysis of deterministic and stochastic SEIR models incorporating the Ornstein-Uhlenbeck process.

Chaos: An Interdisciplinary Journal of Nonlinear Science
In this paper, we introduce a Susceptible-Exposed-Infected-Recovered (SEIR) epidemic model and analyze it in both deterministic and stochastic contexts, incorporating the Ornstein-Uhlenbeck process. The model incorporates a nonlinear incidence rate and a
Pritam Saha   +3 more
semanticscholar   +4 more sources

Stability Analysis of a Stochastic Malware Diffusion SEIR Model

CISIS-ICEUTE, 2023
Samir Llamazares-Elías, Ángel Tocino
semanticscholar   +2 more sources

Stationary distribution and extinction of a stochastic SEIR epidemic model with standard incidence

Physica A: Statistical Mechanics and Its Applications, 2017
Qun Liu   +4 more
semanticscholar   +3 more sources

Dynamics of an SEIR epidemic model with saturated incidence rate including stochastic influence

2023
Summary: This paper aims to develop a stochastic perturbation into SEIR (susceptible-exposed-infected-removed) epidemic model including a saturated estimated incidence. A set of stochastic differential equations is used to study its behavior, with the assumption that each population's exposure to environmental unpredictability is represented by noise ...
Kumar, G, Ramesh, K, Nisar, Kottakkaran
openaire   +1 more source

A stochastic SEIRS rabies model with population dispersal: Stationary distribution and probability density function

Applied Mathematics and Computation, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Zhenfeng   +3 more
openaire   +1 more source

Stochastic SEIR epidemic models with virus mutation and logistic growth of susceptible populations

Mathematics and Computers in Simulation, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi Wang   +3 more
openaire   +2 more sources

Maximum likelihood estimation for a stochastic SEIR system with a COVID-19 application

International Journal of Computational Mathematics, 2022
In this paper, we propose a stochastic model for epidemiology data. The proposed model is obtained as a random perturbation of a suitable parameter in a deterministic SEIR system.
F. Baltazar-Larios   +2 more
semanticscholar   +1 more source

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