A difference equation arising from logistic population growth

Der Chen Chang; Duy Minh Nhieu

doi:10.1080/00036810410001649692

A difference equation arising from logistic population growth

Der Chen Chang, Duy Minh Nhieu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Let (Formula presented.) be a fixed nonnegative integer. In this article we investigate the boundedness and the global attractivity of the positive solutions of the difference equation (Formula presented.) with (Formula presented.). Here g is a real continuous function and initial conditions (Formula presented.) are nonnegative real numbers.

Original language	English
Pages (from-to)	579-598
Number of pages	20
Journal	Applicable Analysis
Volume	83
Issue number	6
DOIs	https://doi.org/10.1080/00036810410001649692
State	Published - Jun 2004

Keywords

Boundedness
Difference equation
Global attractivity
Local stability
Positive solution

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10.1080/00036810410001649692

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title = "A difference equation arising from logistic population growth",

abstract = "Let (Formula presented.) be a fixed nonnegative integer. In this article we investigate the boundedness and the global attractivity of the positive solutions of the difference equation (Formula presented.) with (Formula presented.). Here g is a real continuous function and initial conditions (Formula presented.) are nonnegative real numbers.",

keywords = "Boundedness, Difference equation, Global attractivity, Local stability, Positive solution",

author = "Chang, \{Der Chen\} and Nhieu, \{Duy Minh\}",

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T1 - A difference equation arising from logistic population growth

AU - Chang, Der Chen

AU - Nhieu, Duy Minh

PY - 2004/6

Y1 - 2004/6

N2 - Let (Formula presented.) be a fixed nonnegative integer. In this article we investigate the boundedness and the global attractivity of the positive solutions of the difference equation (Formula presented.) with (Formula presented.). Here g is a real continuous function and initial conditions (Formula presented.) are nonnegative real numbers.

AB - Let (Formula presented.) be a fixed nonnegative integer. In this article we investigate the boundedness and the global attractivity of the positive solutions of the difference equation (Formula presented.) with (Formula presented.). Here g is a real continuous function and initial conditions (Formula presented.) are nonnegative real numbers.

KW - Boundedness

KW - Difference equation

KW - Global attractivity

KW - Local stability

KW - Positive solution

UR - https://www.scopus.com/pages/publications/41949105774

U2 - 10.1080/00036810410001649692

DO - 10.1080/00036810410001649692

M3 - 期刊論文

AN - SCOPUS:41949105774

SN - 0003-6811

VL - 83

SP - 579

EP - 598

JO - Applicable Analysis

JF - Applicable Analysis

IS - 6

ER -

A difference equation arising from logistic population growth

Abstract

Keywords

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