Complex Wolbachia infection dynamics in mosquitoes with imperfect maternal transmission

DOI10.3934/mbe.2018024zbMath1375.92075OpenAlexW2625377026WikidataQ44170162 ScholiaQ44170162MaRDI QIDQ2411082

Mugen Huang, Linchao Hu, Bo Zheng, Wenliang Guo, Jian She Yu

Publication date: 20 October 2017

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2018024

zbMATH Keywords

polymorphismpopulation dynamicsbistabilitycytoplasmic incompatibilityWolbachiamonomorphismimperfect maternal transmission

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Global stability of solutions to ordinary differential equations (34D23)

Related Items (14)

Bifurcation analysis of a wild and sterile mosquito model ⋮ The impact of mating competitiveness and incomplete cytoplasmic incompatibility on \textit{Wolbachia}-driven mosquito population suppression ⋮ Optimal control of mitigation strategies for dengue virus transmission ⋮ Discrete dynamical models on Wolbachia infection frequency in mosquito populations with biased release ratios ⋮ \textit{Wolbachia} spreading dynamics in \textit{Nilaparvata lugens} with two strains ⋮ Global asymptotic stability in an interactive wild and sterile mosquito model ⋮ Characterization ofWolbachiaenhancing domain in mosquitoes with imperfect maternal transmission ⋮ Dynamics of interactive wild and sterile mosquitoes with time delay ⋮ Impulsive releases of sterile mosquitoes and interactive dynamics with time delay ⋮ Existence and uniqueness of periodic orbits in a discrete model on \textit{Wolbachia} infection frequency ⋮ Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model ⋮ A stage structured model of delay differential equations for \textit{Aedes} mosquito population suppression ⋮ A delay suppression model with sterile mosquitoes release period equal to wild larvae maturation period ⋮ Analysis of impulse release of \textit{Wolbachia} to control \textit{Nilaparvata lugens}

Cites Work

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• Constraints on the use of lifespan-shortening \textit{Wolbachia} to control dengue fever
• \textit{Wolbachia} spread dynamics in stochastic environments
• Qualitative analysis for a Wolbachia infection model with diffusion
• Structured and unstructured continuous models for \(Wolbachia\) infections
• Wolbachia infection dynamics by reaction-diffusion equations
• ModelingWolbachiaSpread in Mosquitoes Through Delay Differential Equations

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