By using a continuation theorem based on coincidence degree theory, some new sufficient conditions are obtained for the existence of positive periodic solutions of the following neutral delay predator-prey model with nonmonotonic functional response: egin{equation*} left{egin{array}{l} x'(t)=x(t)[r(t)-a(t)x(t-sigma(t))-b(t)x'(t-sigma(t))]-g(x(t))y(t), y'(t)=y(t)[-d(t)+mu(t)g(x(t-au(t))]. end{array}ight. end{equation*} Moreover, an example is employed to illustrate the main results.
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机译：通过使用基于重合度理论的连续定理，为以下具有非单调功能响应的中立时滞捕食者－食饵模型的正周期解的存在提供了一些新的充分条件： begin {equation *} left { begin {array} {l} x'（t）= x（t）[r（t）-a（t）x（t- sigma（t））-b（t）x'（t- sigma（t ））]-g（x（t））y（t）， y'（t）= y（t）[-d（t）+ mu（t）g（x（t- tau（t ））]。 end {array} right。 end {equation *}此外，还通过一个例子来说明主要结果。
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