Nonstandard numerical methods for a mathematical model for influenza disease

DOI10.1016/j.matcom.2008.04.008zbMath1151.92018OpenAlexW1974133499MaRDI QIDQ960362

Gilberto C. González, Lucas Jodar, Abraham J. Arenas, Rafael-Jacinto Villanueva

Publication date: 17 December 2008

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.04.008

zbMATH Keywords

convergencenumerical solutionsinfluenzanonstandard schemesSIRC epidemic model

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Medical applications (general) (92C50) Finite difference and finite volume methods for ordinary differential equations (65L12) Medical epidemiology (92C60)

Related Items

Computational modelling and bifurcation analysis of reaction diffusion epidemic system with modified nonlinear incidence rate, Stochastic SIRC epidemic model with time-delay for COVID-19, A numerical comparison for a discrete HIV infection of CD4\(^{+}\) T-cell model derived from nonstandard numerical scheme, A simple construction of nonstandard finite-difference schemes for small nonlinear systems applied to SIR models, Unnamed Item, Dynamically consistent discrete epidemic model with modified saturated incidence rate, A nonstandard numerical scheme of predictor-corrector type for epidemic models, An unconditionally stable nonstandard finite difference method to solve a mathematical model describing visceral leishmaniasis, A non-standard finite difference method to solve a model of HIV–Malaria co-infection, Exact and nonstandard finite difference schemes for the Burgers equationB(2,2), Numerical study for two types variable-order Burgers' equations with proportional delay, The fractional SIRC model and influenza A, Optimal control of a fractional smoking system, Analysis of stochastic SIRC model with cross immunity based on Ornstein-Uhlenbeck process, Bifurcations and chaos in a discrete SI epidemic model with fractional order, Dynamics of an ultra-discrete SIR epidemic model with time delay, On fractional SIRC model with \textit{Salmonella} bacterial infection, A skew symmetry-preserving computational technique for obtaining the positive and the bounded solutions of a time-delayed advection-diffusion-reaction equation, Dynamics of a discretized SIR epidemic model with pulse vaccination and time delay, An accurate predictor-corrector-type nonstandard finite difference scheme for an SEIR epidemic model, Non-standard Lagrange–Burman methods for the numerical integration of differential equations, A non-standard finite difference scheme for an epidemic model with vaccination, Review of fractional epidemic models, Nonstandard finite difference scheme for a diffusive within-host virus dynamics model with both virus-to-cell and cell-to-cell transmissions, Reachability computation for polynomial dynamical systems, A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease, A nonstandard finite difference scheme for a basic model of cellular immune response to viral infection, An exact global solution for the classical SIRS epidemic model, Global dynamics of a discretized SIRS epidemic model with time delay, Piecewise finite series solutions of seasonal diseases models using multistage Adomian method, Stability analysis and observer design for discrete-time SEIR epidemic models, An efficient method for solving fractional Hodgkin-Huxley model, A nonstandard finite difference numerical scheme applied to a mathematical model of the prevalence of smoking in Spain: a case study, Numerical treatment for solving fractional SIRC model and influenza A, An unconditionally positive and global stability preserving NSFD scheme for an epidemic model with vaccination, Nonstandard finite difference methods: recent trends and further developments, Dynamically consistent numerical methods for general productive–destructive systems, Nonstandard numerical schemes for modeling a 2-DOF serial robot with rotational spring-damper-actuators, Positive explicit and implicit computational techniques for reaction-diffusion epidemic model of dengue disease dynamics, An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A non-standard numerical scheme for a generalized Gause-type predator--prey model
• Combined nonstandard numerical methods for ODEs with polynomial right-hand sides
• Nonstandard finite-difference methods for predator-prey models with general functional response
• Numerical simulation of multi-species biofilms in porous media for different kinetics
• An unconditionally convergent finite-difference scheme for the \(SIR\) model
• A competitive numerical method for a chemotherapy model of two HIV subtypes
• Nonstandard finite difference method by nonlocal approximation
• Nonstandard finite-difference schemes for general two-dimensional autonomous dynamical systems
• Study of a system of non-linear difference equations arising in a deterministic model for HIV infection
• The SIRC model and influenza A
• Contributions to the mathematics of the nonstandard finite difference method and applications
• ANALYSIS OF A FINITE-DIFFERENCE SCHEME FOR A LINEAR ADVECTION–DIFFUSION–REACTION EQUATION
• Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition
• Construction of a Finite-Difference Scheme that Exactly Conserves Energy for a Mixed Parity Oscillator
• A Positivity-preserving Mickens-type Discretization of an Epidemic Model
• Discrete Dynamical Systems
• Numerical integration of population models satisfying conservation laws: NSFD methods
• An unconditionally convergent discretizaton of the SEIR model