Global analysis of a delayed vector-bias model for malariatransmission with incubation period in mosquitoes
A delayed vector-bias model for malaria transmission withincubation period in mosquitoes is studied. The delay $\tau$corresponds to the time necessary for a latently infected vectorto become an infectious vector. We prove that the global stabilityis completely determined by the threshold parameter,...
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| Format: | Article |
| Language: | English |
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AIMS Press
2011-11-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.165 |
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| Summary: | A delayed vector-bias model for malaria transmission withincubation period in mosquitoes is studied. The delay $\tau$corresponds to the time necessary for a latently infected vectorto become an infectious vector. We prove that the global stabilityis completely determined by the threshold parameter, $R_0(\tau)$.If $R_0(\tau)\leq1$, the disease-free equilibrium is globallyasymptotically stable. If $R_0(\tau)>1$ a uniqueendemic equilibrium exists and is globally asymptotically stable.We apply our results to Ross-MacDonald malaria models with anincubation period (extrinsic or intrinsic). |
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| ISSN: | 1551-0018 |