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On the dynamics of a periodic delay logistic equation with diffusion

Published online by Cambridge University Press:  17 April 2009

K. Gopalasamy  and
Pei-Xuan Weng
K. Gopalasamy
Affiliation:
School of Information Science and Technology Flinders University, G.P.O Box 2100 Adelaide SA 5001, Australia
Pei-Xuan Weng
Affiliation:
Department of Mathematics, South China Normal University, Guangzhou Peoples, Republic of China
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Abstract

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Sufficient conditions are obtained for the existence of a globally attractive positive periodic solution of the periodic diffusive delay logistic system

in which τ and K are positive periodic functions of period τ, n is a positive integer and ö is a nonnegative number; sufficient conditions are also obtained for all positive solutions to be oscillatory about the periodic solution.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 1 , February 1992 , pp. 113 - 134
Copyright
Copyright © Australian Mathematical Society 1992

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