A malaria transmission model having vector bias and time-dependent delays in environments of almost periodicity is considered. The basic reproduction ratio is presented, and the threshold dynamic is characterized by . By using the theories of skew-product semiflows, chain transitive sets, and subhomogeneous and monotone systems, it is proved that the model has only one positive almost periodic solution with global asymptotic stability provided , and the almost periodic (disease-free) solution has global asymptotic stability provided . In addition, some numerical simulations are given.

中文翻译：

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在几乎周期性的环境中具有时变延迟的矢量偏差疟疾模型的阈值动态

考虑了在几乎周期性的环境中具有向量偏差和时间依赖性延迟的疟疾传播模型。给出了基本再现比，阈值动态用 来表征。利用斜积半流、链传递集、次齐次单调系统等理论，证明了该模型只有一个正的几乎周期解，并且具有全局渐近稳定性，且几乎周期（无病）解有提供了全局渐近稳定性。此外，还给出了一些数值模拟。