Mathematical modelling of tuberculosis epidemics
The strengths and limitations of using homogeneous mixing andheterogeneous mixing epidemic models are explored in the contextof the transmission dynamics of tuberculosis. The focus is onthree types of models: a standard incidence homogeneous mixingmodel, a non-homogeneous mixing model that incorpora...
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| Format: | Article |
| Language: | English |
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AIMS Press
2009-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.209 |
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| author | Juan Pablo Aparicio Carlos Castillo-Chávez |
| author_facet | Juan Pablo Aparicio Carlos Castillo-Chávez |
| author_sort | Juan Pablo Aparicio |
| collection | DOAJ |
| description | The strengths and limitations of using homogeneous mixing andheterogeneous mixing epidemic models are explored in the contextof the transmission dynamics of tuberculosis. The focus is onthree types of models: a standard incidence homogeneous mixingmodel, a non-homogeneous mixing model that incorporates'household' contacts, and an age-structured model. The models areparameterized using demographic and epidemiological data and thepatterns generated from these models are compared. Furthermore,the effects of population growth, stochasticity, clustering ofcontacts, and age structure on disease dynamics are explored. Thisframework is used to asses the possible causes for the observedhistorical decline of tuberculosis notifications. |
| format | Article |
| id | doaj-art-2bfe0d7b20b14eceadc480159d315816 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2009-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-2bfe0d7b20b14eceadc480159d3158162025-01-24T01:59:06ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-02-016220923710.3934/mbe.2009.6.209Mathematical modelling of tuberculosis epidemicsJuan Pablo Aparicio0Carlos Castillo-Chávez1School of Science and Technology, Universidad Metropolitana, San Juan 00928-1150School of Science and Technology, Universidad Metropolitana, San Juan 00928-1150The strengths and limitations of using homogeneous mixing andheterogeneous mixing epidemic models are explored in the contextof the transmission dynamics of tuberculosis. The focus is onthree types of models: a standard incidence homogeneous mixingmodel, a non-homogeneous mixing model that incorporates'household' contacts, and an age-structured model. The models areparameterized using demographic and epidemiological data and thepatterns generated from these models are compared. Furthermore,the effects of population growth, stochasticity, clustering ofcontacts, and age structure on disease dynamics are explored. Thisframework is used to asses the possible causes for the observedhistorical decline of tuberculosis notifications.https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.209demography.stochastic modelstuberculosisnon-autonomous systems |
| spellingShingle | Juan Pablo Aparicio Carlos Castillo-Chávez Mathematical modelling of tuberculosis epidemics Mathematical Biosciences and Engineering demography. stochastic models tuberculosis non-autonomous systems |
| title | Mathematical modelling of tuberculosis epidemics |
| title_full | Mathematical modelling of tuberculosis epidemics |
| title_fullStr | Mathematical modelling of tuberculosis epidemics |
| title_full_unstemmed | Mathematical modelling of tuberculosis epidemics |
| title_short | Mathematical modelling of tuberculosis epidemics |
| title_sort | mathematical modelling of tuberculosis epidemics |
| topic | demography. stochastic models tuberculosis non-autonomous systems |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.209 |
| work_keys_str_mv | AT juanpabloaparicio mathematicalmodellingoftuberculosisepidemics AT carloscastillochavez mathematicalmodellingoftuberculosisepidemics |