Modeling the effects of carriers on transmission dynamics of infectious diseases
An $S$-$I_c$-$I$-$R$ epidemic model is investigated for infectious diseases that can be transmitted through carriers, infected individualswho are contagious but do not show any disease symptoms. Mathematical analysis is carried out that completely determines the globaldynamics of the model. The impa...
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| Format: | Article |
| Language: | English |
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AIMS Press
2011-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.711 |
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| author | Darja Kalajdzievska Michael Yi Li |
| author_facet | Darja Kalajdzievska Michael Yi Li |
| author_sort | Darja Kalajdzievska |
| collection | DOAJ |
| description | An $S$-$I_c$-$I$-$R$ epidemic model is investigated for infectious diseases that can be transmitted through carriers, infected individualswho are contagious but do not show any disease symptoms. Mathematical analysis is carried out that completely determines the globaldynamics of the model. The impacts of disease carriers on the transmission dynamics are discussed through the basic reproductionnumber and through numerical simulations. |
| format | Article |
| id | doaj-art-288d4b7e58ec4ad082ad3ad0e6a77d9e |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-288d4b7e58ec4ad082ad3ad0e6a77d9e2025-01-24T02:01:59ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-05-018371172210.3934/mbe.2011.8.711Modeling the effects of carriers on transmission dynamics of infectious diseasesDarja Kalajdzievska0Michael Yi Li1Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2An $S$-$I_c$-$I$-$R$ epidemic model is investigated for infectious diseases that can be transmitted through carriers, infected individualswho are contagious but do not show any disease symptoms. Mathematical analysis is carried out that completely determines the globaldynamics of the model. The impacts of disease carriers on the transmission dynamics are discussed through the basic reproductionnumber and through numerical simulations.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.711lyapunov functions.epidemic modelsglobal stabilitydisease carriers |
| spellingShingle | Darja Kalajdzievska Michael Yi Li Modeling the effects of carriers on transmission dynamics of infectious diseases Mathematical Biosciences and Engineering lyapunov functions. epidemic models global stability disease carriers |
| title | Modeling the effects of carriers on transmission dynamics of infectious diseases |
| title_full | Modeling the effects of carriers on transmission dynamics of infectious diseases |
| title_fullStr | Modeling the effects of carriers on transmission dynamics of infectious diseases |
| title_full_unstemmed | Modeling the effects of carriers on transmission dynamics of infectious diseases |
| title_short | Modeling the effects of carriers on transmission dynamics of infectious diseases |
| title_sort | modeling the effects of carriers on transmission dynamics of infectious diseases |
| topic | lyapunov functions. epidemic models global stability disease carriers |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.711 |
| work_keys_str_mv | AT darjakalajdzievska modelingtheeffectsofcarriersontransmissiondynamicsofinfectiousdiseases AT michaelyili modelingtheeffectsofcarriersontransmissiondynamicsofinfectiousdiseases |