Transmission dynamics of cholera with hyperinfectious and hypoinfectious vibrios: mathematical modelling and control strategies

DOI10.3934/mbe.2019216zbMath1497.92275OpenAlexW2946415690WikidataQ93200422 ScholiaQ93200422MaRDI QIDQ2160779

Jiazhe Lin, Xiaohong Tian, Rui Xu

Publication date: 3 August 2022

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

Full work available at URL: https://doi.org/10.3934/mbe.2019216

zbMATH Keywords

optimal controlglobal dynamicscholera modelhuman-to-human transmissionenvironment-to-human transmissionhyperinfectious vibrios

Mathematics Subject Classification ID

Epidemiology (92D30) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (11)

Modeling and analysis of HIV and cholera direct transmission with optimal control ⋮ Threshold dynamics of a reaction-diffusion equation model for cholera transmission with waning vaccine-induced immunity and seasonality ⋮ A new generalized fractional-order derivative and bifurcation analysis of cholera and human immunodeficiency co-infection dynamic transmission ⋮ Dynamics of a reaction-advection-diffusion model for cholera transmission with human behavior change ⋮ Ergodic stationary distribution and practical application of a hybrid stochastic cholera transmission model with waning vaccine‐induced immunity under nonlinear regime switching ⋮ Dynamical behavior and optimal control of a vector-borne diseases model on bipartite networks ⋮ DYNAMICAL ANALYSIS OF TB MODEL WITH NONLINEAR INCIDENCE RATE AND OPTIMAL CONTROL ⋮ Stationary distribution and probability density function of a stochastic waterborne pathogen model with saturated direct and indirect transmissions ⋮ Mathematical analysis and application of a cholera transmission model with waning vaccine-induced immunity ⋮ Modeling and Predicting the Influence of PM2.5 on Children’s Respiratory Diseases ⋮ Application of a new generalized fractional derivative and rank of control measures on cholera transmission dynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analyzing transmission dynamics of cholera with public health interventions
• An epidemic model for cholera with optimal control treatment
• Global stability for cholera epidemic models
• Modeling optimal intervention strategies for cholera
• Modelling of rabies transmission dynamics using optimal control analysis
• Convergence of the forward-backward sweep method in optimal control
• Multiple transmission pathways and disease dynamics in a waterborne pathogen model
• Threshold dynamics for a cholera epidemic model with periodic transmission rate
• Introduction to functional differential equations
• Effect of awareness programs and travel-blocking operations in the control of HIV/AIDS outbreaks: a multi-domains SIR model
• Global stability of general cholera models with nonlinear incidence and removal rates
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A cholera mathematical model with vaccination and the biggest outbreak of world's history
• Optimal control in epidemiology
• Optimal control for a tuberculosis model with reinfection and post-exposure interventions
• Simulating optimal vaccination times during cholera outbreaks
• A model of cholera transmission with hyperinfectivity and its optimal vaccination control

This page was built for publication: Transmission dynamics of cholera with hyperinfectious and hypoinfectious vibrios: mathematical modelling and control strategies