Work

Dynamics Analysis of a Nonlinear Stochastic SEIR Epidemic System with Varying Population Size

Year: 2018

Type: article

Abstract: This paper considers a stochastic susceptible exposed infectious recovered (SEIR) epidemic model with varying population size and vaccination. We aim to study the global dynamics of the reduced nonlinear stochastic proportional differential system. We first investigate the existence and uniqueness of global positive solution of the stochastic system. Then the sufficient conditions for the extinction and permanence in mean of the infectious disease are obtained. Furthermore, we prove that the solution of the stochastic system has a unique ergodic stationary distribution under appropriate conditions. Finally, the discussion and numerical simulation are given to demonstrate the obtained results.

Source: Entropy

DOI: 10.3390/e20050376

Authors: Xiaofeng Han, Fei Li, Xinzhu Meng

Institution: Shandong University of Science and Technology

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funders: National Natural Science Foundation of China, Shandong University of Science and Technology