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Dynamics of a delayed population model with feedback control

Published online by Cambridge University Press:  17 February 2009

Wang Wendi  and
Tang Chunlei
Wang Wendi
Affiliation:
Department of Mathematics, Southwest Normal University, Chongqing, 400715, P. R. China.
Tang Chunlei
Affiliation:
Department of Mathematics, Southwest Normal University, Chongqing, 400715, P. R. China.
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Abstract

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This paper studies a system proposed by K. Gopalsamy and P. X. Weng to model a population growth with feedback control and time delays. Sufficient conditions are established under which the positive equilibrium of the system is globally attracting. The conjecture proposed by Gopalsamy and Weng is here confirmed and improved.

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 4 , April 2000 , pp. 451 - 457
Copyright
Copyright © Australian Mathematical Society 2000

References

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[2]Gopalsamy, K. and Ahlip, R. A., “Time delays in n-species competition-I; Global stability in constant environments”, Bull. Austral. Math. Soc. 27 (1983) 427–441.CrossRefGoogle Scholar
[3]Gopalsamy, K. and Weng, P. X., “Feedback regulation of logistic growth”, Inter. J. Math. Math. Sci. 16 (1993) 177–192.CrossRefGoogle Scholar
[4]Wang, W. and Ma, Z., “Global attractivity of a population model with feedback regulation”, (reprint).Google Scholar