Modeling and analysis of a diffusive cholera model with seasonally forced intrinsic incubation period and bacterial hyperinfectivity

DOI10.1016/j.jmaa.2023.127414zbMath1519.92262OpenAlexW4377030667MaRDI QIDQ6111128

Tianli Jiang, Jinliang Wang

Publication date: 6 July 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127414

zbMATH Keywords

cholerareaction-diffusion modelbasic reproduction numberseasonal developmental durationbacterial hyperinfectivity

Mathematics Subject Classification ID

Epidemiology (92D30) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A reaction-convection-diffusion model for cholera spatial dynamics
• Global stability and uniform persistence of the reaction-convection-diffusion cholera epidemic model
• Basic reproduction ratios for periodic compartmental models with time delay
• Global properties of vector-host disease models with time delays
• Dynamics of a periodically pulsed bio-reactor model with a hydraulic storage zone
• A reaction-diffusion malaria model with incubation period in the vector population
• A theoretical approach to understanding population dynamics with seasonal developmental durations
• Threshold dynamics of an infective disease model with a fixed latent period and non-local infections
• Modelling the effect of temperature on the seasonal population dynamics of temperate mosquitoes
• Influence of diffusion on the stability of equilibria in a reaction-diffusion system modeling cholera dynamic
• Influence of human behavior on cholera dynamics
• On the delayed Ross-Macdonald model for malaria transmission
• A reaction-diffusion malaria model with seasonality and incubation period
• A cholera epidemic model in a spatiotemporally heterogeneous environment
• Theory and applications of partial functional differential equations
• Analysis of a diffusive cholera model incorporating latency and bacterial hyperinfectivity
• A reaction-advection-diffusion model of cholera epidemics with seasonality and human behavior change
• On the global attractivity for a reaction-diffusion malaria model with incubation period in the vector population
• Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment
• Global dynamics of a nonlocal periodic reaction-diffusion model of bluetongue disease
• Analysis of a reaction-diffusion cholera model with distinct dispersal rates in the human population
• Basic reproduction ratios for periodic abstract functional differential equations (with application to a spatial model for Lyme disease)
• Impact of bacterial hyperinfectivity on cholera epidemics in a spatially heterogeneous environment
• Threshold dynamics of a time periodic reaction-diffusion epidemic model with latent period
• A malaria transmission model with temperature-dependent incubation period
• A reaction-diffusion model of vector-borne disease with periodic delays
• Abstract Functional Differential Equations and Reaction-Diffusion Systems
• Heterogeneity in multiple transmission pathways: modelling the spread of cholera and other waterborne disease in networks with a common water source
• Modelling cholera in periodic environments
• Modelling and control of cholera on networks with a common water source
• Analysis of cholera epidemics with bacterial growth and spatial movement
• Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
• Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
• The Principal Eigenvalue for Degenerate Periodic Reaction-Diffusion Systems
• Dynamical systems in population biology
• Dynamics of evolutionary equations

This page was built for publication: Modeling and analysis of a diffusive cholera model with seasonally forced intrinsic incubation period and bacterial hyperinfectivity