一类带时滞的SIR传染病模型的局部渐近稳定性

Local Asymptotic Stability of A SIR Epidemic Model with Time Delays

研究了一类具有潜伏期和恢复期的SIR传染病模型,用超越函数零点判别法讨论了其平衡点的局部渐近稳定性,给出了此类传染病模型无病平衡点与地方病平衡点的局部渐近稳定性的判别定理,得出了控制疾病的阈值.

An SIR epidemic model with latency and recovery is studied, and its local asymptotic stability of equilibrium is discussed with the transcendental function zero distinction. Furthermore, the threshold to control the disease is given and the perspective of biology is explained.