Stochastic epidemic models with random environment: quasi-stationarity, extinction and final size
We investigate stochastic and epidemic models, when there is a random environment that influences the spread of the infectious disease. The inclusion of an external environment into the epidemic model is done by replacing the constant transmission rates with dynamic rates governed by an environmenta...
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| Veröffentlicht in: | Journal of mathematical biology 2013-10, Vol.67 (4), p.799-831 |
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| container_title | Journal of mathematical biology |
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| creator | Artalejo, J. R. Economou, A. Lopez-Herrero, M. J. |
| description | We investigate stochastic
and
epidemic models, when there is a random environment that influences the spread of the infectious disease. The inclusion of an external environment into the epidemic model is done by replacing the constant transmission rates with dynamic rates governed by an environmental Markov chain. We put emphasis on the algorithmic evaluation of the influence of the environmental factors on the performance behavior of the epidemic model. |
| doi_str_mv | 10.1007/s00285-012-0570-5 |
| format | Article |
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epidemic models, when there is a random environment that influences the spread of the infectious disease. The inclusion of an external environment into the epidemic model is done by replacing the constant transmission rates with dynamic rates governed by an environmental Markov chain. 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| language | eng |
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| source | MEDLINE; Springer Nature - Complete Springer Journals |
| subjects | Algorithms Applications of Mathematics Communicable Diseases - epidemiology Environment Epidemics Epidemiologic Methods Humans Markov Chains Mathematical and Computational Biology Mathematics Mathematics and Statistics Models, Statistical Stochastic Processes |
| title | Stochastic epidemic models with random environment: quasi-stationarity, extinction and final size |
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