OSCILLATION ANALYSIS OF NUMERICAL SOLUTIONS FOR NONLINEAR DELAY DIFFERENTIAL EQUATIONS OF POPULATION DYNAMICS-Reference-Cited by-同舟云学术

OSCILLATION ANALYSIS OF NUMERICAL SOLUTIONS FOR NONLINEAR DELAY DIFFERENTIAL EQUATIONS OF POPULATION DYNAMICS

Published:2011-08-24 Issue:3 Volume:16 Page:365-375
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
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Author:

Gao Jianfang¹,Song Minghui²,Liu Mingzhu²

Affiliation:

1. School of Mathematical Sciences, Harbin Normal University, Harbin, 150025, China

2. Department of mathematics, Harbin Institute of Technology, Harbin, 150001, China

Abstract

This paper is concerned with oscillations of numerical solutions for the nonlinear delay differential equation of population dynamics. The equation proposed by Mackey and Glass for a ”dynamic disease” involves respiratory disorders and its solution resembles the envelope of lung ventilation for pathological breathing, called Cheyne-Stokes respiration. Some conditions under which the numerical solution is oscillatory are obtained. The properties of non-oscillatory numerical solutions are investigated. To verify our results, we give numerical experiments.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference16 articles.

1. Theory of Functional Differential Equations

2. Oscillatory and Asymptotic Behavior of a Discrete Logistic Model

3. Oscillation and stability in nonlinear delay differential equations of population dynamics

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