An improvement of two nonstandard finite difference schemes for two population mathematical models

DOI10.1080/10236198.2021.1903888OpenAlexW3141915994MaRDI QIDQ4991855

J. Calatayud, M. Jornet

Publication date: 4 June 2021

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

Full work available at URL: https://doi.org/10.1080/10236198.2021.1903888

zbMATH Keywords

conservation lawnonstandard finite difference schemepositivity preservationdenominator functionpopulation mathematical model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (5)

On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson's extrapolation ⋮ A novel second-order nonstandard finite difference method preserving dynamical properties of a general single-species model ⋮ Dynamically consistent nonstandard numerical schemes for solving some computer virus and malware propagation models ⋮ Dynamically consistent nonstandard finite difference schemes for a virus-patch dynamic model ⋮ Dynamical analysis of a generalized hepatitis B epidemic model and its dynamically consistent discrete model

Cites Work

• Unnamed Item
• Unnamed Item
• NSFD discretizations of interacting population models satisfying conservation laws
• Combination of nonstandard schemes and Richardson's extrapolation to improve the numerical solution of population models
• Mathematical biology. Vol. 1: An introduction.
• The Mathematics of Infectious Diseases
• A note on an NSFD scheme for a mathematical model of respiratory virus transmission
• Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition
• Compartmental Models in Epidemiology
• Numerical integration of population models satisfying conservation laws: NSFD methods
• Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations
• Advances in the Applications of Nonstandard Finite Difference Schemes

This page was built for publication: An improvement of two nonstandard finite difference schemes for two population mathematical models