Nonstandard finite difference methods and biological models

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

4 Scopus citations

Abstract

Continuous-time biological models including epidemic models and a competition population model are presented. Nonstandard finite difference methods are then applied to approximate these continuous-time systems. The resulting difference equations are studied and comparisons between continuous-time and discrete-time models are made. In particular, conditions for the existence and stability of steady states are investigated. Numerical simulations of the discrete approximations are also presented.

Original languageEnglish
Title of host publicationAdvances in the Applications of Nonstandard Finite Diffference Schemes
PublisherWorld Scientific Publishing Co.
Pages423-457
Number of pages35
ISBN (Electronic)9789812703316
ISBN (Print)9812564047, 9789812564047
DOIs
StatePublished - Jan 1 2005

Fingerprint Dive into the research topics of 'Nonstandard finite difference methods and biological models'. Together they form a unique fingerprint.

Cite this