Estimation of the Region of Global Stability of the Equilibrium State of the Logistic Equation with Delay

被引：9

作者：

Kashchenko, S. A. ^{[1
]}

Loginov, D. O. ^{[1
]}

机构：

[1] PG Demidov Yaroslavl State Univ, 14 Sovetskaya Str, Yaroslavl 150000, Russia

来源：

RUSSIAN MATHEMATICS | 2020年 / 64卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

logistic equation; global stability; delay; one-dimensional mapping; asymptotics of solutions;

D O I：

10.3103/S1066369X20090042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the question of determining all those parameters for which all positive solutions to the logistic equation with delay tend to zero as t -> infinity. The well-known Wright conjecture [1] on the estimation of the set of such parameters is proved. A methodology is developed that makes it possible to sequentially refine this estimate.

引用

页码：34 / 49

页数：16

共 50 条

[1] Estimation of the Region of Global Stability of the Equilibrium State of the Logistic Equation with Delay
S. A. Kashchenko
D. O. Loginov
Russian Mathematics, 2020, 64 : 34 - 49
[2] OSCILLATION AND GLOBAL STABILITY IN A DELAY LOGISTIC EQUATION
LADAS, G
QIAN, C
DYNAMICS AND STABILITY OF SYSTEMS, 1994, 9 (02): : 153 - 162
[3] Oscillation and Global Stability of an Impulsive Delay Logistic Equation
Bozkurt, F.
Yousef, A.
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2018, 57 (06): : 83 - 90
[4] The Global Asymptotic Stability in an Impulsive Logistic Equation with a Distributed delay
Tan, Yuanshun
Chen, Lansun
PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 807 - 811
[5] GLOBAL STABILITY IN THE DELAY-LOGISTIC EQUATION WITH DISCRETE DELAYS
GOPALSAMY, K
HOUSTON JOURNAL OF MATHEMATICS, 1990, 16 (03): : 347 - 356
[6] Linear stability of the delay logistic equation
Vaguina, MY
APPLIED MATHEMATICS LETTERS, 2004, 17 (09) : 1069 - 1072
[7] GLOBAL ATTRACTIVITY IN A DELAY LOGISTIC DIFFERENCE EQUATION
Zhou YinggaoDept. of Appl.Math.and Appl.Software
AppliedMathematics:AJournalofChineseUniversities, 2003, (01) : 53 - 58
[8] Global attractivity in a delay logistic difference equation
Zhou Y.
Applied Mathematics-A Journal of Chinese Universities, 2003, 18 (1) : 53 - 58
[9] Stability of the delay logistic equation of population dynamics
Vagina, MY
2003 INTERNATIONAL CONFERENCE PHYSICS AND CONTROL, VOLS 1-4, PROCEEDINGS: VOL 1: PHYSICS AND CONTROL: GENERAL PROBLEMS AND APPLICATIONS; VOL 2: CONTROL OF OSCILLATIONS AND CHAOS; VOL 3: CONTROL OF MICROWORLD PROCESSES. NANO- AND FEMTOTECHNOLOGIES; VOL 4: NONLINEAR DYNAMICS AND CONTROL, 2003, : 316 - 318
[10] GLOBAL ATTRACTIVITY IN THE DELAY LOGISTIC EQUATION WITH VARIABLE PARAMETERS
ZHANG, BG
GOPALSAMY, K
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1990, 107 : 579 - 590

← 1 2 3 4 5 →