A Note on Proportionate Mixing Assumption Revisited for a Model with Vertical Transmission
We conditionally extend formulas of(Dietz and Schenzle, J. Math. Biol. 22: 117-120,1995) for the ”transmission potential” of an immunizing infection with pre-infection possible before birth and vertical transmission admitted. We look for minimum proportion to be covered to reduce basic reproduction...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Bulgarian Academy of Sciences, Institute of Mathematics and Informatics
2015-05-01
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| Series: | Biomath |
| Subjects: | |
| Online Access: | http://www.biomathforum.org/biomath/index.php/biomath/article/view/365 |
| _version_ | 1797716809190735872 |
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| author | Yannick Kouakep Tchaptchie Duplex Elvis Houpa Danga Nguelbe Alex Guidzavai K. Albert |
| author_facet | Yannick Kouakep Tchaptchie Duplex Elvis Houpa Danga Nguelbe Alex Guidzavai K. Albert |
| author_sort | Yannick Kouakep Tchaptchie |
| collection | DOAJ |
| description | We conditionally extend formulas of(Dietz and Schenzle, J. Math. Biol. 22: 117-120,1995) for the ”transmission potential” of an immunizing infection with pre-infection possible before birth and vertical transmission admitted. We look for minimum proportion to be covered to reduce basic reproduction rate below 1 by acting through vaccination. We present also a new criterion allowing the selection of an immunizing vaccination strategy by bringing the reproduction number below 1. We find that reduce vertical transmission, adds chances to eradicate disease. Moreover reduce age of vaccination reduces the minimum vaccination coverage inducing global immunization against disease by bringing down the basic reproduction number. |
| first_indexed | 2024-03-12T08:27:03Z |
| format | Article |
| id | doaj.art-ae2f2d39463c4737849db6991ce44d10 |
| institution | Directory Open Access Journal |
| issn | 1314-684X 1314-7218 |
| language | English |
| last_indexed | 2024-03-12T08:27:03Z |
| publishDate | 2015-05-01 |
| publisher | Bulgarian Academy of Sciences, Institute of Mathematics and Informatics |
| record_format | Article |
| series | Biomath |
| spelling | doaj.art-ae2f2d39463c4737849db6991ce44d102023-09-02T18:04:30ZengBulgarian Academy of Sciences, Institute of Mathematics and InformaticsBiomath1314-684X1314-72182015-05-014110.11145/365326A Note on Proportionate Mixing Assumption Revisited for a Model with Vertical TransmissionYannick Kouakep Tchaptchie0Duplex Elvis Houpa DangaNguelbe AlexGuidzavai K. AlbertUniversity of Ngaoundere, Dpt of Mathematics and Computer scienceWe conditionally extend formulas of(Dietz and Schenzle, J. Math. Biol. 22: 117-120,1995) for the ”transmission potential” of an immunizing infection with pre-infection possible before birth and vertical transmission admitted. We look for minimum proportion to be covered to reduce basic reproduction rate below 1 by acting through vaccination. We present also a new criterion allowing the selection of an immunizing vaccination strategy by bringing the reproduction number below 1. We find that reduce vertical transmission, adds chances to eradicate disease. Moreover reduce age of vaccination reduces the minimum vaccination coverage inducing global immunization against disease by bringing down the basic reproduction number.http://www.biomathforum.org/biomath/index.php/biomath/article/view/365Transmission potential, minimum proportion for vaccination immunization, endemic disease, pre-infection |
| spellingShingle | Yannick Kouakep Tchaptchie Duplex Elvis Houpa Danga Nguelbe Alex Guidzavai K. Albert A Note on Proportionate Mixing Assumption Revisited for a Model with Vertical Transmission Biomath Transmission potential, minimum proportion for vaccination immunization, endemic disease, pre-infection |
| title | A Note on Proportionate Mixing Assumption Revisited for a Model with Vertical Transmission |
| title_full | A Note on Proportionate Mixing Assumption Revisited for a Model with Vertical Transmission |
| title_fullStr | A Note on Proportionate Mixing Assumption Revisited for a Model with Vertical Transmission |
| title_full_unstemmed | A Note on Proportionate Mixing Assumption Revisited for a Model with Vertical Transmission |
| title_short | A Note on Proportionate Mixing Assumption Revisited for a Model with Vertical Transmission |
| title_sort | note on proportionate mixing assumption revisited for a model with vertical transmission |
| topic | Transmission potential, minimum proportion for vaccination immunization, endemic disease, pre-infection |
| url | http://www.biomathforum.org/biomath/index.php/biomath/article/view/365 |
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