Modelling seasonal influenza in Israel
Mathematical modeling approaches are used to study the epidemic dynamics of seasonal influenza in Israel. The recent availability of highly resolved ten year timeseries of influenza cases provides an opportunity for modeling and estimating important epidemiological parameters in the Israeli populat...
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| Format: | Article |
| Language: | English |
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AIMS Press
2011-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.561 |
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| author | Oren Barnea Rami Yaari Guy Katriel Lewi Stone |
| author_facet | Oren Barnea Rami Yaari Guy Katriel Lewi Stone |
| author_sort | Oren Barnea |
| collection | DOAJ |
| description | Mathematical modeling approaches are used to study the epidemic dynamics of seasonal influenza in Israel. The recent availability of highly resolved ten year timeseries of influenza cases provides an opportunity for modeling and estimating important epidemiological parameters in the Israeli population. A simple but well known SIR discrete-time deterministic model was fitted to consecutive epidemics allowing estimation of the initial number of susceptibles in the population $S_0$, as well as the reproductive number $R_0$ each year. The results were corroborated by implementing a stochastic model and using a maximum likelihood approach. The paper discusses the difficulties in estimating these important parameters especially when the reporting rate of influenza cases might only be known with limited accuracy, as is generally the case. In such situations invariant parameters such as the percentage of susceptibles infected, and the effective reproductive rate might be preferred, as they do not depend on reporting rate. Results are given based on the Israeli timeseries. |
| format | Article |
| id | doaj-art-b93c17707ba244ab9b707e6b17ffb6e4 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-b93c17707ba244ab9b707e6b17ffb6e42025-01-24T02:01:39ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-03-018256157310.3934/mbe.2011.8.561Modelling seasonal influenza in IsraelOren Barnea0Rami Yaari1Guy Katriel2Lewi Stone3Biomathematics Unit, Department of Zoology, Faculty of Life Sciences, Tel Aviv University, Tel Aviv 69978Biomathematics Unit, Department of Zoology, Faculty of Life Sciences, Tel Aviv University, Tel Aviv 69978Biomathematics Unit, Department of Zoology, Faculty of Life Sciences, Tel Aviv University, Tel Aviv 69978Biomathematics Unit, Department of Zoology, Faculty of Life Sciences, Tel Aviv University, Tel Aviv 69978Mathematical modeling approaches are used to study the epidemic dynamics of seasonal influenza in Israel. The recent availability of highly resolved ten year timeseries of influenza cases provides an opportunity for modeling and estimating important epidemiological parameters in the Israeli population. A simple but well known SIR discrete-time deterministic model was fitted to consecutive epidemics allowing estimation of the initial number of susceptibles in the population $S_0$, as well as the reproductive number $R_0$ each year. The results were corroborated by implementing a stochastic model and using a maximum likelihood approach. The paper discusses the difficulties in estimating these important parameters especially when the reporting rate of influenza cases might only be known with limited accuracy, as is generally the case. In such situations invariant parameters such as the percentage of susceptibles infected, and the effective reproductive rate might be preferred, as they do not depend on reporting rate. Results are given based on the Israeli timeseries.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.561seasonality.basic reproductive ratiomodel fittingepidemiology$r_0$influenza |
| spellingShingle | Oren Barnea Rami Yaari Guy Katriel Lewi Stone Modelling seasonal influenza in Israel Mathematical Biosciences and Engineering seasonality. basic reproductive ratio model fitting epidemiology $r_0$ influenza |
| title | Modelling seasonal influenza in Israel |
| title_full | Modelling seasonal influenza in Israel |
| title_fullStr | Modelling seasonal influenza in Israel |
| title_full_unstemmed | Modelling seasonal influenza in Israel |
| title_short | Modelling seasonal influenza in Israel |
| title_sort | modelling seasonal influenza in israel |
| topic | seasonality. basic reproductive ratio model fitting epidemiology $r_0$ influenza |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.561 |
| work_keys_str_mv | AT orenbarnea modellingseasonalinfluenzainisrael AT ramiyaari modellingseasonalinfluenzainisrael AT guykatriel modellingseasonalinfluenzainisrael AT lewistone modellingseasonalinfluenzainisrael |