Abstract
In this paper, we deal with a model for the survival of red blood cells with periodic coefficients (*) $$ \begin{array}{*{20}c} {{{x}\ifmmode{'}\else$'$\fi{\left( t \right)} = - \mu {\left( t \right)}x{\left( t \right)} + P{\left( t \right)}e^{{ - \gamma {\left( t \right)}x{\left( {t - r{\left( t \right)}} \right)}}} ,}} & {{t \geqslant 0.}} \\ \end{array} $$ A new sufficient condition for global attractivity of positive periodic solutions of Eq.(∗) is obtained. Our criterion improves corresponding result obtained by Li and Wang in 2005.
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