Tohoku Mathematical Journal
2000
March
SECOND SERIES VOL. 52, NO. 1

Tohoku Math. J.
52 (2000), 107-125

Title EXTREME STABILITY AND ALMOST PERIODICITY IN A DISCRETE LOGISTIC EQUATION

Author Sannay Mohamad and Kondalsamy Gopalsamy

(Received August 24, 1998)
Abstract. A sufficient condition is obtained for the existence of a globally asymptotically stable positive almost periodic solution of a discrete logistic equation. The sufficient condition becomes a necessary and sufficient condition for the global asymptotic stability of the positive equilibrium of the corresponding autonomous equation.

1991 Mathematics Subject Classification. Primary 39A10, 39A11; Secondary 92D25, 92D40.
Key words and phrases. Persistence, Almost periodic sequence, Global asymptotic stability.

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