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Volume 33, Issue 1
Persistence and Extinction of a Stochastic SIS Epidemic Model with Double Epidemic Hypothesis

Rui Xue & Fengying Wei

Ann. Appl. Math., 33 (2017), pp. 77-89.

Published online: 2022-06

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  • Abstract

In this paper, we aim at dynamical behaviors of a stochastic SIS epidemic model with double epidemic hypothesis. Sufficient conditions for the extinction and persistence in mean are derived via constructing suitable functions. We obtain a threshold of stochastic SIS epidemic model, which determines how the diseases spread when the white noises are small. Numerical simulations are used to illustrate the efficiency of the main results of this article.

  • Keywords

double epidemic hypothesis, Brownian motion, extinction, persistence.

  • AMS Subject Headings

60H10, 93E15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-33-77, author = {Xue , Rui and Wei , Fengying}, title = {Persistence and Extinction of a Stochastic SIS Epidemic Model with Double Epidemic Hypothesis}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {1}, pages = {77--89}, abstract = {

In this paper, we aim at dynamical behaviors of a stochastic SIS epidemic model with double epidemic hypothesis. Sufficient conditions for the extinction and persistence in mean are derived via constructing suitable functions. We obtain a threshold of stochastic SIS epidemic model, which determines how the diseases spread when the white noises are small. Numerical simulations are used to illustrate the efficiency of the main results of this article.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20596.html} }
TY - JOUR T1 - Persistence and Extinction of a Stochastic SIS Epidemic Model with Double Epidemic Hypothesis AU - Xue , Rui AU - Wei , Fengying JO - Annals of Applied Mathematics VL - 1 SP - 77 EP - 89 PY - 2022 DA - 2022/06 SN - 33 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20596.html KW - double epidemic hypothesis, Brownian motion, extinction, persistence. AB -

In this paper, we aim at dynamical behaviors of a stochastic SIS epidemic model with double epidemic hypothesis. Sufficient conditions for the extinction and persistence in mean are derived via constructing suitable functions. We obtain a threshold of stochastic SIS epidemic model, which determines how the diseases spread when the white noises are small. Numerical simulations are used to illustrate the efficiency of the main results of this article.

Rui Xue & Fengying Wei. (2022). Persistence and Extinction of a Stochastic SIS Epidemic Model with Double Epidemic Hypothesis. Annals of Applied Mathematics. 33 (1). 77-89. doi:
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