Sufficient conditions for the existence positive periodic solutions of a class of neutral delay models with feedback control

With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of positive periodic solutions of a neutral model with periodic delays and feedback controldndt=n(t)a(t)[email protected](t)n(t)[email protected]?i=1nb"i(t)n([email protected]"i(t))[email protected]?i=1nc"i(t)n^'([email protected]"i(t))[email protected](t)u(t)[email protected]?i=1nd"i(t)u([email protected]"i(t)),dudt=-e(t)u(t)+f(t)n(t)[email protected]?i=1ng"i(t)n([email protected]"i(t)). Our results extend and improve existing results, and have further applications in population dynamics.

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