In this article, we formulate and study a discrete equation model depicting the pattern of Wolbachia infection in a mosquito population. A domain in ${\mathcal{R}}_{+}^2$ is called a Wolbachia infection enhancing (or decaying) domain if in which the Wolbachia infection frequency of the next generation is always bigger (or smaller) than that of the current generation. We first give a complete analysis of the equivalent Wolbachia infection frequency curves. And then we clearly characterize the Wolbachia infection enhancing domain and decaying domain for all of the parameters, respectively. Finally, some numerical examples are also provided to illustrate our theoretical results.

在本文中，我们制定并研究了一个离散方程模型，该模型描述了蚊子群体中Wolbachia感染的模式。一个域在${\mathcal{电阻}}_{+}^2$如果下一代的Wolbachia感染频率始终大于（或小于）当前一代的Wolbachia感染频率，则称为Wolbachia感染增强（或衰减）域。我们首先对等效的沃尔巴克氏菌感染频率曲线进行了完整的分析。然后我们分别清楚地表征了所有参数的Wolbachia感染增强域和衰减域。最后，还提供了一些数值例子来说明我们的理论结果。