Journal
JOURNAL OF BIOLOGICAL DYNAMICS
Volume 11, Issue 1, Pages 79-101Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/17513758.2016.1159740
Keywords
Allee effects; stability; stage structure; sterile mosquito releases; vector-bornediseases
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Funding
- U.S. National Science Foundation [DMS-1118150]
- National Natural Science Foundation of China [11371305]
- China Scholarship Council [201308410212]
- Nanhu Scholars Program for Young Scholars XYNU
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1118150] Funding Source: National Science Foundation
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To study the impact of the sterile insect technique and effects of the mosquitoes' metamorphic stage structure on the transmission dynamics of mosquito-borne diseases, we formulate stage-structured continuous-time mathematical models, based on systems of differential equations, for the interactive dynamics of the wild and sterile mosquitoes. We incorporate different strategies for the releases of sterile mosquitoes in the models and investigate the model dynamics, including the existence of positive equilibria and their stability. Numerical examples are provided to demonstrate the dynamical features of the models.
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