Mathematical model for acquiring immunity to malaria: a PDE approach
We develop a new model of integro-differential equations coupled with a partial differential equation that focuses on the study of the? naturally acquiring immunity to malaria induced by exposure to infection. We analyze a continuous acquisition of immunity after infected individuals are treated. It...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Bulgarian Academy of Sciences, Institute of Mathematics and Informatics
2021-09-01
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| Series: | Biomath |
| Subjects: | |
| Online Access: | http://www.biomathforum.org/biomath/index.php/biomath/article/view/1390 |
| _version_ | 1827884893093232640 |
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| author | S Y Tchoumi Y T Kouakep D J M Fotsa F G T Kamba J C Kamgang D D E Houpa |
| author_facet | S Y Tchoumi Y T Kouakep D J M Fotsa F G T Kamba J C Kamgang D D E Houpa |
| author_sort | S Y Tchoumi |
| collection | DOAJ |
| description | We develop a new model of integro-differential equations coupled with a partial differential equation that focuses on the study of the? naturally acquiring immunity to malaria induced by exposure to infection. We analyze a continuous acquisition of immunity after infected individuals are treated. It exhibits complex and realistic mechanisms precised mathematically in both disease free or endemic context and in several numerical simulations showing the interplay between infection through the bite of mosquitoes. The model confirms the (partial) premunition of the human population in the regions where malaria is endemic. As common in literature, we indicate an equivalence of the basic reproduction rate as the spectral radius of a next generation operator. |
| first_indexed | 2024-03-12T19:37:25Z |
| format | Article |
| id | doaj.art-587d8cb606114c128cff0f5df4719ec8 |
| institution | Directory Open Access Journal |
| issn | 1314-684X 1314-7218 |
| language | English |
| last_indexed | 2024-03-12T19:37:25Z |
| publishDate | 2021-09-01 |
| publisher | Bulgarian Academy of Sciences, Institute of Mathematics and Informatics |
| record_format | Article |
| series | Biomath |
| spelling | doaj.art-587d8cb606114c128cff0f5df4719ec82023-08-02T04:05:38ZengBulgarian Academy of Sciences, Institute of Mathematics and InformaticsBiomath1314-684X1314-72182021-09-0110210.11145/j.biomath.2021.07.227873Mathematical model for acquiring immunity to malaria: a PDE approachS Y TchoumiY T KouakepD J M FotsaF G T KambaJ C KamgangD D E HoupaWe develop a new model of integro-differential equations coupled with a partial differential equation that focuses on the study of the? naturally acquiring immunity to malaria induced by exposure to infection. We analyze a continuous acquisition of immunity after infected individuals are treated. It exhibits complex and realistic mechanisms precised mathematically in both disease free or endemic context and in several numerical simulations showing the interplay between infection through the bite of mosquitoes. The model confirms the (partial) premunition of the human population in the regions where malaria is endemic. As common in literature, we indicate an equivalence of the basic reproduction rate as the spectral radius of a next generation operator.http://www.biomathforum.org/biomath/index.php/biomath/article/view/1390malaria, premunition, modelling, endemic |
| spellingShingle | S Y Tchoumi Y T Kouakep D J M Fotsa F G T Kamba J C Kamgang D D E Houpa Mathematical model for acquiring immunity to malaria: a PDE approach Biomath malaria, premunition, modelling, endemic |
| title | Mathematical model for acquiring immunity to malaria: a PDE approach |
| title_full | Mathematical model for acquiring immunity to malaria: a PDE approach |
| title_fullStr | Mathematical model for acquiring immunity to malaria: a PDE approach |
| title_full_unstemmed | Mathematical model for acquiring immunity to malaria: a PDE approach |
| title_short | Mathematical model for acquiring immunity to malaria: a PDE approach |
| title_sort | mathematical model for acquiring immunity to malaria a pde approach |
| topic | malaria, premunition, modelling, endemic |
| url | http://www.biomathforum.org/biomath/index.php/biomath/article/view/1390 |
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