Existence and stability of periodic solutions in a mosquito population suppression model with time delay

B Zheng, J Li, J Yu - Journal of Differential Equations, 2022 - Elsevier
By including the maturation period τ of wild mosquitoes, we develop a delay differential
equation model to study the suppression of wild mosquito population by releasing …

Modelling the Use of Wolbachia to Control Dengue Fever Transmission

H Hughes, NF Britton - Bulletin of mathematical biology, 2013 - Springer
Experiments and field trials have shown that the intracellular bacterium Wolbachia may be
introduced into populations of the mosquito Aedes aegypti, the primary vector for dengue …

Modeling Wolbachia Spread in Mosquitoes Through Delay Differential Equations

B Zheng, M Tang, J Yu - SIAM Journal on Applied Mathematics, 2014 - SIAM
Dengue fever is the most common mosquito-borne viral disease. A promising control
strategy targets the mosquito vector Aedes aegypti by releasing the mosquitoes infected by …

Population Dynamic Models of the Spread of Wolbachia

PA Hancock, SP Sinkins… - The American …, 2011 - journals.uchicago.edu
Wolbachia are endosymbionts that are found in many insect species and can spread rapidly
when introduced into a naive host population. Most Wolbachia spread when their infection …

Implementation of control strategies for sterile insect techniques

PA Bliman, D Cardona-Salgado, Y Dumont… - Mathematical …, 2019 - Elsevier
In this paper, we propose a sex-structured entomological model that serves as a basis for
design of control strategies relying on releases of sterile male mosquitoes (Aedes spp) and …

Optimal control approach for establishing wMelPop Wolbachia infection among wild Aedes aegypti populations

DE Campo-Duarte, O Vasilieva… - Journal of mathematical …, 2018 - Springer
Wolbachia-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 Aedes …

[HTML][HTML] On the use of the sterile insect release technique to reduce or eliminate mosquito populations

M Strugarek, H Bossin, Y Dumont - Applied Mathematical Modelling, 2019 - Elsevier
Vector control is critical to limit the circulation of vector-borne diseases, like chikungunya,
dengue or zika, which have become important issues around the world. Among them, the …

[HTML][HTML] The threshold infection level for Wolbachia invasion in random environments

L Hu, M Tang, Z Wu, Z Xi, J Yu - Journal of Differential Equations, 2019 - Elsevier
Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel
strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus …

Wolbachia spreading dynamics in mosquitoes with imperfect maternal transmission

B Zheng, M Tang, J Yu, J Qiu - Journal of mathematical biology, 2018 - Springer
Mosquitoes are primary vectors of life-threatening diseases such as dengue, malaria, and
Zika. A new control method involves releasing mosquitoes carrying bacterium Wolbachia …

Wolbachia spread dynamics in stochastic environments

L Hu, M Huang, M Tang, J Yu, B Zheng - Theoretical population biology, 2015 - Elsevier
Dengue fever is a mosquito-borne viral disease with 100 million people infected annually. A
novel strategy for dengue control uses the bacterium Wolbachia to invade dengue vector …