Mathematical models of SIR disease spread with combined non-sexual and sexual transmission routes
The emergence of Zika and Ebola demonstrates the importance of understanding the role of sexual transmission in the spread of diseases with a primarily non-sexual transmission route. In this paper, we develop low-dimensional models for how an SIR disease will spread if it transmits through a sexual...
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| Format: | Article |
| Language: | English |
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KeAi Communications Co., Ltd.
2017-02-01
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| Series: | Infectious Disease Modelling |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468042716300203 |
| _version_ | 1827279341885587456 |
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| author | Joel C. Miller |
| author_facet | Joel C. Miller |
| author_sort | Joel C. Miller |
| collection | DOAJ |
| description | The emergence of Zika and Ebola demonstrates the importance of understanding the role of sexual transmission in the spread of diseases with a primarily non-sexual transmission route. In this paper, we develop low-dimensional models for how an SIR disease will spread if it transmits through a sexual contact network and some other transmission mechanism, such as direct contact or vectors. We show that the models derived accurately predict the dynamics of simulations in the large population limit, and investigate â0 and final size relations. |
| first_indexed | 2024-04-24T08:17:25Z |
| format | Article |
| id | doaj.art-a8ef645d83d4499aa0544c285125ebd9 |
| institution | Directory Open Access Journal |
| issn | 2468-0427 |
| language | English |
| last_indexed | 2024-04-24T08:17:25Z |
| publishDate | 2017-02-01 |
| publisher | KeAi Communications Co., Ltd. |
| record_format | Article |
| series | Infectious Disease Modelling |
| spelling | doaj.art-a8ef645d83d4499aa0544c285125ebd92024-04-17T03:12:57ZengKeAi Communications Co., Ltd.Infectious Disease Modelling2468-04272017-02-01213555Mathematical models of SIR disease spread with combined non-sexual and sexual transmission routesJoel C. Miller0Monash University, School of Mathematical Sciences, Melbourne 3800, Australia; Institute for Disease Modeling, Bellevue, WA, USA; Corresponding author. Monash University, School of Mathematical Sciences, Melbourne 3800, Australia.The emergence of Zika and Ebola demonstrates the importance of understanding the role of sexual transmission in the spread of diseases with a primarily non-sexual transmission route. In this paper, we develop low-dimensional models for how an SIR disease will spread if it transmits through a sexual contact network and some other transmission mechanism, such as direct contact or vectors. We show that the models derived accurately predict the dynamics of simulations in the large population limit, and investigate â0 and final size relations.http://www.sciencedirect.com/science/article/pii/S2468042716300203 |
| spellingShingle | Joel C. Miller Mathematical models of SIR disease spread with combined non-sexual and sexual transmission routes Infectious Disease Modelling |
| title | Mathematical models of SIR disease spread with combined non-sexual and sexual transmission routes |
| title_full | Mathematical models of SIR disease spread with combined non-sexual and sexual transmission routes |
| title_fullStr | Mathematical models of SIR disease spread with combined non-sexual and sexual transmission routes |
| title_full_unstemmed | Mathematical models of SIR disease spread with combined non-sexual and sexual transmission routes |
| title_short | Mathematical models of SIR disease spread with combined non-sexual and sexual transmission routes |
| title_sort | mathematical models of sir disease spread with combined non sexual and sexual transmission routes |
| url | http://www.sciencedirect.com/science/article/pii/S2468042716300203 |
| work_keys_str_mv | AT joelcmiller mathematicalmodelsofsirdiseasespreadwithcombinednonsexualandsexualtransmissionroutes |