Stability on coupling SIR epidemic model with vaccination
We develop a mathematical model for the disease which can be transmitted via vector and through blood transfusion in host population. The host population is structured by the chronological age. We assume that the instantaneous death and infection rates depend on the age. Applying semigroup theory a...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/JAM.2005.301 |
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| _version_ | 1832560469145026560 |
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| author | Helong Liu Houbao Xu Jingyuan Yu Guangtian Zhu |
| author_facet | Helong Liu Houbao Xu Jingyuan Yu Guangtian Zhu |
| author_sort | Helong Liu |
| collection | DOAJ |
| description | We develop a mathematical model for the disease which can be
transmitted via vector and through blood transfusion in host
population. The host population is structured by the chronological
age. We assume that the instantaneous death and infection rates
depend on the age. Applying semigroup theory and so forth, we
investigate the existence of equilibria. We also discuss local
stability of steady states. |
| format | Article |
| id | doaj-art-1d653dca970145cda0d91fa9e24b14db |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1d653dca970145cda0d91fa9e24b14db2025-02-03T01:27:30ZengWileyJournal of Applied Mathematics1110-757X1687-00422005-01-012005430131910.1155/JAM.2005.301Stability on coupling SIR epidemic model with vaccinationHelong Liu0Houbao Xu1Jingyuan Yu2Guangtian Zhu3Department of Mathematics, Xinyang Normal University, Henan, Xinyang 464000, ChinaDepartment of Mathematics, Beijing Institute of Technology, Beijing 100081, ChinaBeijing Institute of Information and Control, Beijing 100037, ChinaAcademy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080, ChinaWe develop a mathematical model for the disease which can be transmitted via vector and through blood transfusion in host population. The host population is structured by the chronological age. We assume that the instantaneous death and infection rates depend on the age. Applying semigroup theory and so forth, we investigate the existence of equilibria. We also discuss local stability of steady states.http://dx.doi.org/10.1155/JAM.2005.301 |
| spellingShingle | Helong Liu Houbao Xu Jingyuan Yu Guangtian Zhu Stability on coupling SIR epidemic model with vaccination Journal of Applied Mathematics |
| title | Stability on coupling SIR epidemic model with vaccination |
| title_full | Stability on coupling SIR epidemic model with vaccination |
| title_fullStr | Stability on coupling SIR epidemic model with vaccination |
| title_full_unstemmed | Stability on coupling SIR epidemic model with vaccination |
| title_short | Stability on coupling SIR epidemic model with vaccination |
| title_sort | stability on coupling sir epidemic model with vaccination |
| url | http://dx.doi.org/10.1155/JAM.2005.301 |
| work_keys_str_mv | AT helongliu stabilityoncouplingsirepidemicmodelwithvaccination AT houbaoxu stabilityoncouplingsirepidemicmodelwithvaccination AT jingyuanyu stabilityoncouplingsirepidemicmodelwithvaccination AT guangtianzhu stabilityoncouplingsirepidemicmodelwithvaccination |