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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2005-02-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.227 |
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| Summary: | 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. |
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| ISSN: | 1551-0018 |