Modeling and dynamics of Wolbachia-infected male releases and mating competition on mosquito control

DOI10.1007/s00285-020-01509-7zbMath1448.34106OpenAlexW3031461184WikidataQ95843300 ScholiaQ95843300MaRDI QIDQ782882

Qiyong Liu, Xianghong Zhang, Huai-Ping Zhu

Publication date: 29 July 2020

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-020-01509-7

zbMATH Keywords

global stabilitybackward bifurcationWolbachiamating competitionmosquito suppressionmosquito-borne diseases (MBDs)

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (12)

Mosquito control based on pesticides and endosymbiotic bacterium \textit{Wolbachia} ⋮ One discrete dynamical model on the \textit{Wolbachia} infection frequency in mosquito populations ⋮ \textit{Wolbachia} dynamics in mosquitoes with incomplete CI and imperfect maternal transmission by a DDE system ⋮ Impact of releasing period and magnitude on mosquito population in a sterile release model with delay ⋮ Dynamics analysis of stage-structured wild and sterile mosquito interaction impulsive model ⋮ \textit{Wolbachia} invasion to wild mosquito population in stochastic environment ⋮ A periodic delay differential system for mosquito control with \textit{Wolbachia} incompatible insect technique ⋮ Assessing the impact of serostatus-dependent immunization on mitigating the spread of dengue virus ⋮ Stability and periodicity in a mosquito population suppression model composed of two sub-models ⋮ Existence and stability of periodic solutions for a mosquito suppression model with incomplete cytoplasmic incompatibility ⋮ Releasing Wolbachia-infected mosquitos to mitigate the transmission of Zika virus ⋮ Sterile insect technique with accidental releases of sterile females: impact on mosquito-borne diseases control when viruses are circulating

Cites Work

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