An unconditionally positive and global stability preserving NSFD scheme for an epidemic model with vaccination
type: Item
instance of: scholarly article
title: An unconditionally positive and global stability preserving NSFD scheme for an epidemic model with vaccination
zbMATH Open document ID: 1322.92026
author: Qiang Ma
author: Deqiong Ding
author: Xiaohua Ding
published in: International Journal of Applied Mathematics and Computer Science
publication date: 2015-10-16T00:00:00Z
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 6495460
zbMATH Keywords: nonstandard finite differences
zbMATH Keywords: unconditional positivity
zbMATH Keywords: stability
zbMATH Keywords: Lyapunov function
MaRDI profile type: Publication
full work available at URL: amcs-2014-0046
OpenAlex ID: W1994925076
cites work: Neimark–Sacker bifurcations in a non-standard numerical scheme for a class of positivity-preserving ODEs
cites work: Nonstandard finite difference method by nonlocal approximation
cites work: Non-standard numerical method for a mathematical model of RSV epidemiological transmission
cites work: A second-order, unconditionally positive, mass-conserving integration scheme for biochemical systems
cites work: Stability properties of a nonstandard finite difference scheme for a hantavirus epidemic model
cites work: Numerical modelling of an SIR epidemic model with diffusion
cites work: Q3443111
cites work: Nonstandard finite-difference methods for predator-prey models with general functional response
cites work: A non-standard finite difference scheme for an epidemic model with vaccination
cites work: Q5425070
cites work: Verified Solution Method for Population Epidemiology Models with Uncertainty
cites work: A competitive numerical method for a chemotherapy model of two HIV subtypes
cites work: Q5539404
cites work: Nonstandard numerical methods for a mathematical model for influenza disease
cites work: Q5692919
cites work: A mathematical model of HIV-1 infection including the saturation effect of healthy cell proliferation
cites work: Q5674335
cites work: Q4309510
cites work: Q3150276
cites work: Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations
cites work: A Positivity-preserving Mickens-type Discretization of an Epidemic Model
cites work: A mathematical study of a model for childhood diseases with non-permanent immunity
cites work: An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection
cites work: Q3996820
cites work: Combination of nonstandard schemes and Richardson's extrapolation to improve the numerical solution of population models
cites work: Q4074415
cites work: PERMANENCE OF SOME DISCRETE EPIDEMIC MODELS
cites work: Global dynamics of a discretized SIRS epidemic model with time delay
cites work: Q4333039
cites work: An invariance principle for discrete-time nonlinear systems
DOI: 10.2478/AMCS-2014-0046
description: scientific article; zbMATH DE number 6495460