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On a periodic neutral logistic equation

Published online by Cambridge University Press:  18 May 2009

K. Gopalsamy ,
Xue-Zhong He  and
Lizhi Wen
K. Gopalsamy
Affiliation:
School of Information Science, Flinders University, Bedford Park, S.A. 5042, Australia
Xue-Zhong He
Affiliation:
Department of Mathematics, Ningxia University, Yinchuan, P.R. China
Lizhi Wen
Affiliation:
Department of Mathematics, South China Normal University, P.R. China
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The oscillatory and asymptotic behaviour of the positive solutions of the autonomous neutral delay logistic equation

with r, c, T, K ∈ (0, ∞) has been recently investigated in [2]. More recently the dynamics of the periodic delay logistic equation

in which r, K are periodic functions of period τ and m is a positive integer is considered in [6]. The purpose of the following analysis is to obtain sufficient conditions for the existence and linear asymptotic stability of a positive periodic solution of a periodic neutral delay logistic equation

in which Ṅ denotes and r, K, c are positive continuous periodic functions of period τ at and m is a positive integer. For the origin and biological relevance of (1.3) we refer to [2].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 33 , Issue 3 , September 1991 , pp. 281 - 286
Copyright
Copyright © Glasgow Mathematical Journal Trust 1991

References

REFERENCES

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6.Zhang, B. G. and Gopalsamy, K., Global attractivity and oscillations in a periodic delay logistic equation, J. Math. Anal. Appl. 150 (1990), 274–283.CrossRefGoogle Scholar