Abstract
Sufficient conditions are obtained for the existence of positive periodic solutions of a class of neutral delay differential system with state-dependent delays and feedback control by using the theory of topological degree and some new analytical techniques. The analytical result obtained is not only of great interest in theory but also many applications such as biomathematics, which extends substantially the existing relevant existence results in the literature. As a demonstration, applying the obtained analysis results to a real complex neutral Lotka–Volterra population model, the existence criterion for positive periodic solutions is easily obtained. Especially, this method is more suitable to state-dependent delay.
Published Version
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