Threshold dynamics of a stochastic mathematical model for Wolbachia infections

DOI10.1080/17513758.2023.2231967zbMath1522.92080OpenAlexW4383483338MaRDI QIDQ6050269

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Publication date: 18 September 2023

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2023.2231967

zbMATH Keywords

Lyapunov functionergodicitydengue feverpopulation replacement

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Cites Work

• \textit{Wolbachia} spread dynamics in stochastic environments
• Analysis of a stochastic tri-trophic food-chain model with harvesting
• Propagating Lyapunov functions to prove noise-induced stabilization
• Birth-pulse models of \textit{Wolbachia}-induced cytoplasmic incompatibility in mosquitoes for dengue virus control
• Modeling the effects of augmentation strategies on the control of dengue fever with an impulsive differential equation
• Stationary distribution of stochastic population systems
• Structured and unstructured continuous models for \(Wolbachia\) infections
• Permanence of stochastic Lotka-Volterra systems
• A stochastic model of AIDS and condom use
• Models to assess how best to replace dengue virus vectors with \textit{Wolbachia}-infected mosquito populations
• Persistence in population models with demographic fluctuations
• Effects of parameter fluctuations on community survival
• Environmental Brownian noise suppresses explosions in population dynamics.
• The stationary distribution and ergodicity of a stochastic phytoplankton allelopathy model under regime switching
• Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes

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