Almost Periodic Solutions of Lasota–Wazewska-type Delay Differential Equation

Sufficient conditions are derived for the existence of a globally attractive almost periodic solution of a single species model given by the nonautonomous Lasota–Wazewska-type delay differential equations,x′t=−δtxt+ptfxt−τ,in which τ > 0, p(t) ≥ 0, δ(t) are continuous almost periodic functions, and f is a decreasing positive C1-function. Conditions of the uniform asymptotical stability for some associated nonautonomous delay differential equations,x′t=−δtxt+ptxt−τ,are also discussed.

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