Effects of stochastic perturbation on the SIS epidemic system
In this paper we extend the classical SIS epidemic model from a deterministic framework to a stochastic one. We also study the long time behavior of the stochastic system. We mainly establish conditions for the extinction of disease from the population as well as the persistence of disease under dif...
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| Veröffentlicht in: | Journal of mathematical biology 2017, Vol.74 (1-2), p.469-498 |
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| container_end_page | 498 |
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| container_title | Journal of mathematical biology |
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| creator | Lahrouz, Aadil Settati, Adel Akharif, Abdelhadi |
| description | In this paper we extend the classical SIS epidemic model from a deterministic framework to a stochastic one. We also study the long time behavior of the stochastic system. We mainly establish conditions for the extinction of disease from the population as well as the persistence of disease under different conditions. In the case of persistence, we show the existence of a stationary distribution. we found that the introduction of stochastic noise changes the basic reproduction number. The presented results are demonstrated by numerical simulations. |
| doi_str_mv | 10.1007/s00285-016-1033-1 |
| format | Article |
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| identifier | ISSN: 0303-6812 |
| ispartof | Journal of mathematical biology, 2017, Vol.74 (1-2), p.469-498 |
| issn | 0303-6812 1432-1416 |
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| source | MEDLINE; SpringerNature Journals |
| subjects | Applications of Mathematics Basic Reproduction Number Communicable Diseases - epidemiology Computer Simulation Disease Eradication - statistics & numerical data Epidemics Humans Mathematical and Computational Biology Mathematics Mathematics and Statistics Models, Biological Stochastic Processes Time Factors |
| title | Effects of stochastic perturbation on the SIS epidemic system |
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