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- Title
Optimal control approach for establishing <italic>wMelPop Wolbachia</italic> infection among wild <italic>Aedes aegypti</italic> populations.
- Authors
Campo-Duarte, Doris E.; Vasilieva, Olga; Cardona-Salgado, Daiver; Svinin, Mikhail
- Abstract
<italic>Wolbachia</italic>-based biocontrol has recently emerged as a potential method for prevention and control of dengue and other vector-borne diseases. Major vector species, such as <italic>Aedes aegypti</italic> females, when deliberately infected with <italic>Wolbachia</italic> become less capable of getting viral infections and transmitting the virus to human hosts. In this paper, we propose an explicit sex-structured population model that describes an interaction of uninfected (wild) male and female mosquitoes and those deliberately infected with <italic>wMelPop</italic> strain of <italic>Wolbachia</italic> in the same locality. This particular strain of <italic>Wolbachia</italic> is regarded as the best blocker of dengue and other arboviral infections. However, <italic>wMelPop</italic> strain of <italic>Wolbachia</italic> also causes the loss of individual fitness in <italic>Aedes aegypti</italic> mosquitoes. Our model allows for natural introduction of the decision (or control) variable, and we apply the optimal control approach to simulate <italic>wMelPop Wolbachia</italic> infestation of wild <italic>Aedes aegypti</italic> populations. The control action consists in continuous periodic releases of mosquitoes previously infected with <italic>wMelPop</italic> strain of <italic>Wolbachia</italic> in laboratory conditions. The ultimate purpose of control is to find a tradeoff between reaching the population replacement in minimum time and with minimum cost of the control effort. This approach also allows us to estimate the number of <italic>Wolbachia</italic>-carrying mosquitoes to be released in day-by-day control action. The proposed method of biological control is safe to human health, does not contaminate the environment, does not make harm to non-target species, and preserves their interaction with mosquitoes in the ecosystem.
- Subjects
WOLBACHIA; AEDES aegypti; RICKETTSIACEAE; AEDES; INSECT ecology
- Publication
Journal of Mathematical Biology, 2018, Vol 76, Issue 7, p1907
- ISSN
0303-6812
- Publication type
Article
- DOI
10.1007/s00285-018-1213-2