Analysis of cholera epidemics with bacterial growth and spatial movement

DOI10.1080/17513758.2014.974696zbMath1448.92353OpenAlexW1968729308WikidataQ41680660 ScholiaQ41680660MaRDI QIDQ3304605

Publication date: 3 August 2020

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

Full work available at URL: https://doi.org/10.1080/17513758.2014.974696

zbMATH Keywords

geometric approach global asymptotic stability basic reproduction number disease threshold dynamics cholera model

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Global stability of solutions to ordinary differential equations (34D23)

Related Items

A reaction-advection-diffusion model of cholera epidemics with seasonality and human behavior change, Analysis of a degenerated reaction-diffusion cholera model with spatial heterogeneity and stabilized total humans, Dynamics of an infection age-space structured cholera model with Neumann boundary condition, On a reaction–diffusion system modelling infectious diseases without lifetime immunity, Global well-posedness and asymptotic behavior of solutions to a reaction-convection-diffusion cholera epidemic model, Global dynamics of a reaction-diffusion waterborne pathogen model with general incidence rate, A reaction-convection-diffusion model for cholera spatial dynamics, Analysis of a reaction–diffusion SVIR model with a fixed latent period and non-local infections, Global stability and uniform persistence of the reaction-convection-diffusion cholera epidemic model, Modeling cholera dynamics at multiple scales: environmental evolution, between-host transmission, and within-host interaction, Influence of spatial heterogeneous environment on long-term dynamics of a reaction-diffusion SVIR epidemic model with relaps, Threshold dynamics of a reaction-diffusion equation model for cholera transmission with waning vaccine-induced immunity and seasonality, Impact of awareness programs on cholera dynamics: two modeling approaches, A general multipatch cholera model in periodic environments, Modeling and mathematical analysis of an initial boundary value problem for hepatitis B virus infection, Dynamics of a reaction-advection-diffusion model for cholera transmission with human behavior change, Analysis of an optimal control problem for a spatio‐temporal SIR model with nonlinear density dependent diffusion terms, Asymptotic analysis for a nonlinear reaction-diffusion system modeling an infectious disease, Parameter and state estimation in a cholera model with threshold immunology: a case study of Senegal, Dynamics and profiles of a diffusive cholera model with bacterial hyperinfectivity and distinct dispersal rates, Modeling and analysis of a diffusive cholera model with seasonally forced intrinsic incubation period and bacterial hyperinfectivity, Threshold dynamics of a chronological age and infection age structured cholera model with Neumann boundary condition, Wave propagation of a reaction-diffusion cholera model with hyperinfectious vibrios and spatio-temporal delay, Unnamed Item, Modeling and Analysis of the Multiannual Cholera Outbreaks with Host-Pathogen Encounters, Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment, Spreading speed of a cholera epidemic model in a periodic environment, Threshold dynamics of reaction–diffusion partial differential equations model of Ebola virus disease, Analysis of a model for waterborne diseases with Allee effect on bacteria, An age-structured model for cholera control with vaccination, Disease dynamics in a coupled cholera model linking within-host and between-host interactions, A multi-scale cholera model linking between-host and within-host dynamics, Modeling the within-host dynamics of cholera: bacterial–viral interaction, Stochastic models of infectious diseases in a periodic environment with application to cholera epidemics, Prevalence-based modeling approach of schistosomiasis: global stability analysis and integrated control assessment, Analysis of a degenerate reaction-diffusion host-pathogen model with general incidence rate, A partially diffusive cholera model based on a general second-order differential operator, A cholera epidemic model in a spatiotemporally heterogeneous environment, Threshold dynamics of a delayed nonlocal reaction-diffusion cholera model, Zika virus dynamics partial differential equations model with sexual transmission route, Dynamics of a waterborne pathogen model with spatial heterogeneity and general incidence rate, Multi-scale modeling of cholera dynamics in a spatially heterogeneous environment, Threshold dynamics of a reaction-diffusion cholera model with seasonality and nonlocal delay, Dynamical analysis and optimal control simulation for an age-structured cholera transmission model, MODELING CHOLERA TRANSMISSION UNDER DISEASE CONTROL MEASURES, Dynamics and strategies evaluations of a novel reaction-diffusion COVID-19 model with direct and aerosol transmission

Cites Work