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Journal of Applied Mathematics and Computing

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15-02-2021 | Original Research

A stochastic epidemic model with infectivity in incubation period and homestead–isolation on the susceptible

Authors: Dongchen Shangguan, Zhijun Liu, Lianwen Wang, Ronghua Tan

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2021

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Abstract

A stochastic epidemic model with infectivity rate in incubation period and homestead–isolation on the susceptible is developed with the aim of revealing the effect of stochastic white noise on the long time behavior. A good understanding of extinction and strong persistence in the mean of the disease is obtained. Also, we derive sufficient criteria for the existence of a unique ergodic stationary distribution of the model. Our theoretical results show that the suitably large noise can make the disease extinct while the relatively small noise is advantageous for persistence of the disease and stationary distribution.

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Title: A stochastic epidemic model with infectivity in incubation period and homestead–isolation on the susceptible
Authors: Dongchen Shangguan
Zhijun Liu
Lianwen Wang
Ronghua Tan
Publication date: 15-02-2021
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2021
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-021-01504-1

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