A periodic delay differential system for mosquito control with \textit{Wolbachia} incompatible insect technique

DOI10.1016/j.nonrwa.2023.103867zbMath1518.92179OpenAlexW4324132508MaRDI QIDQ6158279

Yijun Lou, Kaihui Liu

Publication date: 20 June 2023

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2023.103867

zbMATH Keywords

seasonal effectsmosquito control\textit{Wolbachia} IITlarval competition

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Pest management (92D45)

Cites Work

• Unnamed Item
• Unnamed Item
• Modeling the effects of augmentation strategies on the control of dengue fever with an impulsive differential equation
• Mathematical assessment of the role of temperature and rainfall on mosquito population dynamics
• A theoretical approach to understanding population dynamics with seasonal developmental durations
• Modelling the effect of temperature on the seasonal population dynamics of temperate mosquitoes
• Modeling and dynamics of Wolbachia-infected male releases and mating competition on mosquito control
• Control strategies for a population dynamics model of \textit{Aedes aegypti} with seasonal variability and their effects on dengue incidence
• Stage-structured models of intra- and inter-specific competition within age classes
• Threshold dynamics for compartmental epidemic models in periodic environments
• Introduction to functional differential equations
• Assessing the efficiency of \textit{Wolbachia} driven \textit{Aedes} mosquito suppression by delay differential equations
• Threshold dynamics of a temperature-dependent stage-structured mosquito population model with nested delays
• Wolbachia spreading dynamics in mosquitoes with imperfect maternal transmission
• The threshold infection level for \textit{Wolbachia} invasion in random environments
• Existence and uniqueness of periodic orbits in a discrete model on \textit{Wolbachia} infection frequency
• A delay suppression model with sterile mosquitoes release period equal to wild larvae maturation period
• Existence and stability of periodic solutions in a mosquito population suppression model with time delay
• 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
• Global asymptotic stability in an interactive wild and sterile mosquito model
• On the use of the sterile insect release technique to reduce or eliminate mosquito populations
• A stage structured model of delay differential equations for \textit{Aedes} mosquito population suppression
• Basic reproduction ratios for periodic abstract functional differential equations (with application to a spatial model for Lyme disease)
• Implementation of control strategies for sterile insect techniques
• Delay equation models for populations that experience competition at immature life stages
• An impulsive model for Wolbachia infection control of mosquito-borne diseases with general birth and death rate functions
• Use of age-stage structural models to seek optimal \textit{Wolbachia}-infected male mosquito releases for mosquito-borne disease control
• Stage duration distributions and intraspecific competition: a review of continuous stage-structured models
• ModelingWolbachiaSpread in Mosquitoes Through Delay Differential Equations
• Two-sex mosquito model for the persistence ofWolbachia
• New revised simple models for interactive wild and sterile mosquito populations and their dynamics
• Continuous-Time Age-Structured Models in Population Dynamics and Epidemiology
• Modeling Mosquito Population Suppression Based on Delay Differential Equations
• Age-dependent intra-specific competition in pre-adult life stages and its effects on adult population dynamics
• Optimal bed net use for a dengue disease model with mosquito seasonal pattern
• Modeling and Analysis of the Implementation of the Wolbachia Incompatible and Sterile Insect Technique for Mosquito Population Suppression
• Modeling the dynamics ofWolbachia-infected and uninfectedAedes aegypti populations by delay differential equations
• Dynamics of Mosquitoes Populations with Different Strategies for Releasing Sterile Mosquitoes
• Dynamical systems in population biology

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