Epidemic modelling: an introduction
This general introduction to the ideas and techniques required for the mathematical modelling of diseases begins with an outline of some disease statistics dating from Daniel Bernoulli's 1760 smallpox data. The authors then describe simple deterministic and stochastic models in continuous and d...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1999
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| Schriftenreihe: | Cambridge studies in mathematical biology
15 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | This general introduction to the ideas and techniques required for the mathematical modelling of diseases begins with an outline of some disease statistics dating from Daniel Bernoulli's 1760 smallpox data. The authors then describe simple deterministic and stochastic models in continuous and discrete time for epidemics taking place in either homogeneous or stratified (non-homogeneous) populations. Several techniques for constructing and analysing models are provided, mostly in the context of viral and bacterial diseases of human populations. These models are contrasted with models for rumours and vector-borne diseases like malaria. Questions of fitting data to models, and their use in understanding methods for controlling the spread of infection, are discussed. Exercises and complementary results at the end of each chapter extend the scope of the text, which will be useful for students taking courses in mathematical biology who have some basic knowledge of probability and statistics |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 213 pages) |
| ISBN: | 9780511608834 |
| DOI: | 10.1017/CBO9780511608834 |
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| 245 | 1 | 0 | |a Epidemic modelling |b an introduction |c D.J. Daley and J. Gani |
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| 505 | 8 | |a Some history -- Deterministic models -- Stochastic models in continuous time -- Stochastic models in discrete time -- Rumours: modelling spread and its cessation -- Fitting epidemic data -- The control of epidemics | |
| 520 | |a This general introduction to the ideas and techniques required for the mathematical modelling of diseases begins with an outline of some disease statistics dating from Daniel Bernoulli's 1760 smallpox data. The authors then describe simple deterministic and stochastic models in continuous and discrete time for epidemics taking place in either homogeneous or stratified (non-homogeneous) populations. Several techniques for constructing and analysing models are provided, mostly in the context of viral and bacterial diseases of human populations. These models are contrasted with models for rumours and vector-borne diseases like malaria. Questions of fitting data to models, and their use in understanding methods for controlling the spread of infection, are discussed. Exercises and complementary results at the end of each chapter extend the scope of the text, which will be useful for students taking courses in mathematical biology who have some basic knowledge of probability and statistics | ||
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Datensatz im Suchindex
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| author | Daley, Daryl J. |
| author_facet | Daley, Daryl J. |
| author_role | aut |
| author_sort | Daley, Daryl J. |
| author_variant | d j d dj djd |
| building | Verbundindex |
| bvnumber | BV043940581 |
| classification_rvk | SK 850 XF 4300 |
| collection | ZDB-20-CBO |
| contents | Some history -- Deterministic models -- Stochastic models in continuous time -- Stochastic models in discrete time -- Rumours: modelling spread and its cessation -- Fitting epidemic data -- The control of epidemics |
| ctrlnum | (ZDB-20-CBO)CR9780511608834 (OCoLC)992846651 (DE-599)BVBBV043940581 |
| dewey-full | 614.4/01/5 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 614 - Forensic medicine; incidence of disease |
| dewey-raw | 614.4/01/5 |
| dewey-search | 614.4/01/5 |
| dewey-sort | 3614.4 11 15 |
| dewey-tens | 610 - Medicine and health |
| discipline | Mathematik Medizin |
| doi_str_mv | 10.1017/CBO9780511608834 |
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| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9780511608834 |
| language | English |
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| spelling | Daley, Daryl J. Verfasser aut Epidemic modelling an introduction D.J. Daley and J. Gani Cambridge Cambridge University Press 1999 1 online resource (xii, 213 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in mathematical biology 15 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Some history -- Deterministic models -- Stochastic models in continuous time -- Stochastic models in discrete time -- Rumours: modelling spread and its cessation -- Fitting epidemic data -- The control of epidemics This general introduction to the ideas and techniques required for the mathematical modelling of diseases begins with an outline of some disease statistics dating from Daniel Bernoulli's 1760 smallpox data. The authors then describe simple deterministic and stochastic models in continuous and discrete time for epidemics taking place in either homogeneous or stratified (non-homogeneous) populations. Several techniques for constructing and analysing models are provided, mostly in the context of viral and bacterial diseases of human populations. These models are contrasted with models for rumours and vector-borne diseases like malaria. Questions of fitting data to models, and their use in understanding methods for controlling the spread of infection, are discussed. Exercises and complementary results at the end of each chapter extend the scope of the text, which will be useful for students taking courses in mathematical biology who have some basic knowledge of probability and statistics Mathematisches Modell Epidemiology / Mathematical models Epidemiology / Statistical methods Epidemie (DE-588)4137380-7 gnd rswk-swf Epidemiologie (DE-588)4015016-1 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Epidemie (DE-588)4137380-7 s Mathematisches Modell (DE-588)4114528-8 s 1\p DE-604 Epidemiologie (DE-588)4015016-1 s 2\p DE-604 Gani, J. M. Sonstige oth Erscheint auch als Druckausgabe 978-0-521-01467-0 Erscheint auch als Druckausgabe 978-0-521-64079-4 https://doi.org/10.1017/CBO9780511608834 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Daley, Daryl J. Epidemic modelling an introduction Some history -- Deterministic models -- Stochastic models in continuous time -- Stochastic models in discrete time -- Rumours: modelling spread and its cessation -- Fitting epidemic data -- The control of epidemics Mathematisches Modell Epidemiology / Mathematical models Epidemiology / Statistical methods Epidemie (DE-588)4137380-7 gnd Epidemiologie (DE-588)4015016-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4137380-7 (DE-588)4015016-1 (DE-588)4114528-8 |
| title | Epidemic modelling an introduction |
| title_auth | Epidemic modelling an introduction |
| title_exact_search | Epidemic modelling an introduction |
| title_full | Epidemic modelling an introduction D.J. Daley and J. Gani |
| title_fullStr | Epidemic modelling an introduction D.J. Daley and J. Gani |
| title_full_unstemmed | Epidemic modelling an introduction D.J. Daley and J. Gani |
| title_short | Epidemic modelling |
| title_sort | epidemic modelling an introduction |
| title_sub | an introduction |
| topic | Mathematisches Modell Epidemiology / Mathematical models Epidemiology / Statistical methods Epidemie (DE-588)4137380-7 gnd Epidemiologie (DE-588)4015016-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Mathematisches Modell Epidemiology / Mathematical models Epidemiology / Statistical methods Epidemie Epidemiologie |
| url | https://doi.org/10.1017/CBO9780511608834 |
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