Dynamic consistent non-standard numerical scheme for a dengue disease transmission model

DOI10.1080/10236198.2013.858715zbMath1319.92055OpenAlexW2013547669MaRDI QIDQ2941701

Xiao-Hua Ding, De-Qiong Ding

Publication date: 24 August 2015

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2013.858715

zbMATH Keywords

global stabilityLyapunov functionsdifference equationnon-standard numerical scheme

Mathematics Subject Classification ID

Epidemiology (92D30) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items

Computational modelling and bifurcation analysis of reaction diffusion epidemic system with modified nonlinear incidence rate, Global stability of a discrete virus dynamics model with diffusion and general infection function, Global stability and a non-standard finite difference scheme for a diffusion driven HBV model with capsids, A non-standard finite difference method for a hepatitis B virus infection model with spatial diffusion, Stability of discrete-time HIV dynamics models with three categories of infected CD \(4^+\) T-cells, Dynamically consistent nonstandard numerical schemes for solving some computer virus and malware propagation models, Lyapunov direct method for investigating stability of nonstandard finite difference schemes for metapopulation models, A consistent discrete version of a nonautonomous SIRVS model, Dengue transmission: mathematical model with discrete time delays and estimation of the reproduction number, Non-standard finite difference method applied to an initial boundary value problem describing hepatitis B virus infection, Global stability of a discrete virus dynamics model with Holling type-II infection function, Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global dynamics of a dengue epidemic mathematical model
• Lyapunov functions for a dengue disease transmission model
• Backward bifurcations in dengue transmission dynamics
• A general discrete time model of population dynamics in the presence of an infection
• A deterministic model for gonorrhea in a nonhomogeneous population
• Competitive exclusion in a vector-host model for the dengue fever
• Global behavior of an SEIRS epidemic model with time delays
• Global stability for a class of discrete SIR epidemic models
• Estimation of the reproduction number of dengue fever from spatial epidemic data
• A discrete time version for models of population dynamics in the presence of an infection
• A discrete-time analogue preserving the global stability of a continuous SEIS epidemic model
• Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates
• PERMANENCE OF SOME DISCRETE EPIDEMIC MODELS
• NONSTANDARD FINITE DIFFERENCE METHODS
• A non-standard finite difference scheme for an epidemic model with vaccination
• Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations