Based on the Mawhin continuous theorem,the existence of strictly positive asymptotically almost periodic solutions of a class of impulsive population models is studied. The conclusion generalizes the conclusion of the exist-ing literatures. Since the Mawhin continuous theorem is only used to prove the existence of periodic solutions or al-most periodic solutions of equations ( for example: impulsive differential equation, functional differential equation, integral equation, Lienard equation, P-Laplacian equation) , the main result is innovative.%基于Mawhin延拓定理,研究了一类脉冲种群模型严格正的渐近概周期解的存在性.所得结论推广了已有文献的结论.由于Mawhin延拓定理之前仅被用来证明很多类方程(如:脉冲微分方程、泛函微分方程、积分方程、Lienard型方程、P-Laplacian方程等)周期解或概周期解的存在性,故具一定的创新性.
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