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A stochastic vector-borne epidemic model: Quasi-stationarity and extinction
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics. Université Ouaga, Ouagadougou, Burkina Faso.
Number of Authors: 2
2017 (English)In: Mathematical Biosciences, ISSN 0025-5564, E-ISSN 1879-3134, Vol. 289, 89-95 p.Article in journal (Refereed) Published
Abstract [en]

We consider a stochastic model describing the spread of a vector borne disease in a community where individuals (hosts and vectors) die and new individuals (hosts and vectors) are born. The time to extinction of the disease, T-Q, starting in quasi-stationary (conditional on non extinction) is studied. Properties of the limiting distribution are used to obtain an approximate expression for E(T-Q), the mean-parameter in the exponential distribution of the time to extinction, for a finite population. It is then investigated numerically and by means of simulations how E(T-Q) and its approximations depend on the different model parameters.

Place, publisher, year, edition, pages
2017. Vol. 289, 89-95 p.
Keyword [en]
Diffusion approximation, Quasi-stationary distribution, Vector-borne disease, Time to extinction
National Category
Biological Sciences Mathematics
Identifiers
URN: urn:nbn:se:su:diva-145352DOI: 10.1016/j.mbs.2017.05.004ISI: 000404199700009PubMedID: 28511957OAI: oai:DiVA.org:su-145352DiVA: diva2:1128590
Available from: 2017-07-26 Created: 2017-07-26 Last updated: 2017-07-26Bibliographically approved

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