MODELLING THE INTRODUCTION OF WOLBACHIA INTO AEDES AEGYPTI MOSQUITOES TO REDUCE DENGUE TRANSMISSION

DOI10.1017/S1446181112000132zbMath1316.93104OpenAlexW2010165553MaRDI QIDQ4897767

Meksianis Z. Ndii, G. N. Mercer, Roslyn I. Hickson

Publication date: 28 December 2012

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181112000132

zbMATH Keywords

stabilitysensitivity analysismathematical model\textit{Aedes aegypti}dengue\textit{Wolbachia}

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Population dynamics (general) (92D25)

Related Items (13)

The effect of \textit{Wolbachia} on dengue outbreaks when dengue is repeatedly introduced ⋮ Application of Caputo-Fabrizio operator to suppress the Aedes Aegypti mosquitoes via Wolbachia: an LMI approach ⋮ Stability of travelling waves in a \textit{Wolbachia} invasion ⋮ Modelling a wolbachia invasion using a slow-fast dispersal reaction-diffusion approach ⋮ Modeling the Transmission of Wolbachia in Mosquitoes for Controlling Mosquito-Borne Diseases ⋮ Two-sex mosquito model for the persistence ofWolbachia ⋮ Characterization ofWolbachiaenhancing domain in mosquitoes with imperfect maternal transmission ⋮ The threshold infection level for Wolbachia invasion in a two-sex mosquito population model ⋮ The effect of reinfection with the same serotype on dengue transmission dynamics ⋮ \textit{Wolbachia} infection dynamics in mosquito population with the CI effect suffering by uninfected ova produced by infected females ⋮ Monotone dynamics and global behaviors of a West Nile virus model with mosquito demographics ⋮ Modeling the dynamics ofWolbachia-infected and uninfectedAedes aegypti populations by delay differential equations ⋮ Modelling the transmission dynamics of dengue in the presence of \textit{Wolbachia}

Cites Work

• A stochastic population dynamics model for Aedes Aegypti: formulation and application to a city with temperate climate
• Describing the geographic spread of dengue disease by traveling waves
• A methodology for performing global uncertainty and sensitivity analysis in systems biology

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