Global population dynamics of a single species structured with distinctive time-varying maturation and self-limitation delays

<p style='text-indent:20px;'>We consider the classical Nicholson's blowflies model incorporating two distinctive time-varying delays. One of delays corresponds to length individual's life cycle, and another specific physiological stage when self-limitation feedback takes place. Unlike formulation equation where self-regulation appears due competition productive adults for resources, our considered can occur at any developmental an individual during entire cycle. We aim find sharp conditions global asymptotic stability a positive equilibrium. This is significant challenge even both are held constant values. Here, we develop approach obtain explicit criterion in important situation asymptotically apart. Our be also applied non-autonomous Mackey-Glass provide partial solution open problem about dynamics.</p>