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中文摘要：
本文研究了一类非自治SIRS传染病模型.在比较弱的条件下,我们不仅得到了疾病强一致持续的充分必要条件,还证明了疾病强一致持续与强持续的等价性.本文给出了新的阈值.另外也给出了疾病灭绝的条件.文献[7]中的结论被改进.
英文摘要：
In this paper a non-autonomous SIRS epidemic model is studied.Under the quite weak assumptions, we not only establish the sufficient and necessary conditions of the uniformly strong persistence of the disease, but also prove that the uniformly strong persistence and strong persistence of the disease are each other equivalent. A new threshold is determined. In addition, we also obtain a criterion on the extinction of the disease. A known result given in [7] is improved.
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