This paper is concerned with the minimal wave speed of nonconstant traveling wave solutions in an HIV-1 virus integrodifference system. Here, the traveling wave solution models the spatial spreading process of infected cells and virus. When the basic reproduction ratio of the corresponding ordinary differential system or difference system is larger than one, we establish the existence of nonconstant traveling wave solutions if the wave speed is not less than a threshold, and if the speed is smaller than the threshold, we prove the nonexistence of nonconstant traveling wave solutions. Moreover, when the basic reproduction ratio of the corresponding ordinary differential system or difference system is not larger than one, we also confirm the nonexistence of nonconstant traveling wave solutions.

中文翻译：

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HIV-1病毒整合差异系统中的最小波速

本文关注 HIV-1 病毒整合差异系统中非恒定行波解的最小波速。在这里，行波解决方案模拟了受感染细胞和病毒的空间传播过程。当对应的普通微分系统或差分系统的基本再生比大于1时，若波速不小于某个阈值，则证明非恒定行波解的存在性，若小于阈值，则证明不存在非恒定行波解。此外，当相应的普通微分系统或差分系统的基本再生比不大于1时，我们也证实了不存在非常量行波解。