Oscillations and Convergence in a Diffusive Delay Logistic Equation

K. Gopalsamy; Xue‐Zhong ‐Z He; Da‐Qing ‐Q Sun

doi:10.1002/mana.19931640116

Oscillations and Convergence in a Diffusive Delay Logistic Equation

K. Gopalsamy^*, Xue‐Zhong ‐Z He, Da‐Qing ‐Q Sun

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

Sufficient conditions are obtained for all positive solutions of the diffusive delay‐logistic system (Formula Presented.) to be oscillatory about the positive equilibrium K. A comparison result is established with which the global asymptotic stability of the positive equilibrium is investigated.

Original language	English
Pages (from-to)	219-237
Number of pages	19
Journal	Mathematische Nachrichten
Volume	164
Issue number	1
DOIs	https://doi.org/10.1002/mana.19931640116
Publication status	Published - 1993
Externally published	Yes

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title = "Oscillations and Convergence in a Diffusive Delay Logistic Equation",

abstract = "Sufficient conditions are obtained for all positive solutions of the diffusive delay‐logistic system (Formula Presented.) to be oscillatory about the positive equilibrium K. A comparison result is established with which the global asymptotic stability of the positive equilibrium is investigated.",

author = "K. Gopalsamy and He, {Xue‐Zhong ‐Z} and Sun, {Da‐Qing ‐Q}",

year = "1993",

doi = "10.1002/mana.19931640116",

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journal = "Mathematische Nachrichten",

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AU - Gopalsamy, K.

AU - He, Xue‐Zhong ‐Z

AU - Sun, Da‐Qing ‐Q

PY - 1993

Y1 - 1993

N2 - Sufficient conditions are obtained for all positive solutions of the diffusive delay‐logistic system (Formula Presented.) to be oscillatory about the positive equilibrium K. A comparison result is established with which the global asymptotic stability of the positive equilibrium is investigated.

AB - Sufficient conditions are obtained for all positive solutions of the diffusive delay‐logistic system (Formula Presented.) to be oscillatory about the positive equilibrium K. A comparison result is established with which the global asymptotic stability of the positive equilibrium is investigated.

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U2 - 10.1002/mana.19931640116

DO - 10.1002/mana.19931640116

M3 - Article

AN - SCOPUS:84985405417

SN - 0025-584X

VL - 164

SP - 219

EP - 237

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 1

ER -

Oscillations and Convergence in a Diffusive Delay Logistic Equation

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