Dynamics of a stochastic multigroup SEI epidemic model

Abstract

In this paper, we analyze the salient features of a stochastic multigroup SEI epidemic model. We obtain sufficient criteria for the existence and uniqueness of an ergodic stationary distribution of positive solutions to the system by establishing a series of suitable Lyapunov functions. In a biological viewpoint, the existence of a stationary distribution indicates that the diseases will be prevalent and persistent in the long term. In addition, we make up adequate conditions for complete eradication and wiping out of the diseases. Some numerical simulations are presented to illustrate our main results.

Keywords:

• Multigroup SEI epidemic model
• stationary distribution
• ergodicity
• extinction

MATHEMATICS SUBJECT CLASSIFICATION:

• 34E10
• 60H10
• 92B05
• 92D30

Additional information

Funding

This work is supported by the National Natural Science Foundation of China (Nos.12001090, 11871473), Shandong Provincial Natural Science Foundation (No.ZR2019MA010) and the Fundamental Research Funds for the Central Universities of China (No.2412020QD024).