A reaction-diffusion system modeling the spread of resistance to an antimalarial drug
A mathematical model representing the diffusion of resistance toan antimalarial drug is developed. Resistance can spread only whenthe basic reproduction number of the resistant parasites is biggerthan the basic reproduction number of the sensitive parasites(which depends on the fraction of infected...
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| Format: | Article |
| Language: | English |
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AIMS Press
2005-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.227 |
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| author | Nicolas Bacaër Cheikh Sokhna |
| author_facet | Nicolas Bacaër Cheikh Sokhna |
| author_sort | Nicolas Bacaër |
| collection | DOAJ |
| description | A mathematical model representing the diffusion of resistance toan antimalarial drug is developed. Resistance can spread only whenthe basic reproduction number of the resistant parasites is biggerthan the basic reproduction number of the sensitive parasites(which depends on the fraction of infected people treated with theantimalarial drug). Based on a linearization study and on numerical simulations,an expression for the speed at which resistancespreads is conjectured. It dependson the ratio of the two basic reproduction numbers,on a coefficient representing the diffusion of mosquitoes,on the death rate of mosquitoes infected by resistant parasites,and on the recovery rate of nonimmune humans infected by resistant parasites. |
| format | Article |
| id | doaj-art-ea408f2bd79c45b9a1db6dcf12c3f325 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-ea408f2bd79c45b9a1db6dcf12c3f3252025-01-24T01:48:05ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-02-012222723810.3934/mbe.2005.2.227A reaction-diffusion system modeling the spread of resistance to an antimalarial drugNicolas Bacaër0Cheikh Sokhna1Institut de Recherche pour le Développement (I.R.D.), 32 avenue Henri Varagnat, 93143 Bondy cedexLaboratoire de Paludologie, Institut de Recherche pour le Développement, B.P. 1386, DakarA mathematical model representing the diffusion of resistance toan antimalarial drug is developed. Resistance can spread only whenthe basic reproduction number of the resistant parasites is biggerthan the basic reproduction number of the sensitive parasites(which depends on the fraction of infected people treated with theantimalarial drug). Based on a linearization study and on numerical simulations,an expression for the speed at which resistancespreads is conjectured. It dependson the ratio of the two basic reproduction numbers,on a coefficient representing the diffusion of mosquitoes,on the death rate of mosquitoes infected by resistant parasites,and on the recovery rate of nonimmune humans infected by resistant parasites.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.227propagation speed.malariareaction-diffusionresistance |
| spellingShingle | Nicolas Bacaër Cheikh Sokhna A reaction-diffusion system modeling the spread of resistance to an antimalarial drug Mathematical Biosciences and Engineering propagation speed. malaria reaction-diffusion resistance |
| title | A reaction-diffusion system modeling the spread of resistance to an antimalarial drug |
| title_full | A reaction-diffusion system modeling the spread of resistance to an antimalarial drug |
| title_fullStr | A reaction-diffusion system modeling the spread of resistance to an antimalarial drug |
| title_full_unstemmed | A reaction-diffusion system modeling the spread of resistance to an antimalarial drug |
| title_short | A reaction-diffusion system modeling the spread of resistance to an antimalarial drug |
| title_sort | reaction diffusion system modeling the spread of resistance to an antimalarial drug |
| topic | propagation speed. malaria reaction-diffusion resistance |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.227 |
| work_keys_str_mv | AT nicolasbacaer areactiondiffusionsystemmodelingthespreadofresistancetoanantimalarialdrug AT cheikhsokhna areactiondiffusionsystemmodelingthespreadofresistancetoanantimalarialdrug AT nicolasbacaer reactiondiffusionsystemmodelingthespreadofresistancetoanantimalarialdrug AT cheikhsokhna reactiondiffusionsystemmodelingthespreadofresistancetoanantimalarialdrug |