GLOBAL ATTRACTIVITY IN A NONAUTONOMOUS DELAY-LOGISTIC EQUATION

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Published: Jun 1, 1995
DOI: https://doi.org/10.5556/j.tkjm.26.1995.4393
Keywords:
Logistic equation global attractivity conjecture

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JIANHUA SHEN
Department of Appllied Mathematics, Hunan University, Changsha, Hunan 410082, China.
ZHICHENG WANG
Department of Appllied Mathematics, Hunan University, Changsha, Hunan 410082, China.

Abstract




Consider the nonautonomous delay-Logistic equation


\[x'(t)=r(t)x(t)[1-b_1x(t-\tau_1)-b_2x(t-\tau_2)], \quad t\ge 0.\]





We obtain sufficient conditions for the positive steady state $x^* =1/(b_1+b_2)$ to be a global attractor. An application of our result also solves a conjecture of Gopalsamy.







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How to Cite
SHEN, J., & WANG, Z. (1995). GLOBAL ATTRACTIVITY IN A NONAUTONOMOUS DELAY-LOGISTIC EQUATION. Tamkang Journal of Mathematics, 26(2), 159–164. https://doi.org/10.5556/j.tkjm.26.1995.4393
Issue
Vol. 26 No. 2 (1995)
Section
Papers
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