Beretta E, Takeuchi Y
Istituto de Biomatematica, Università, Urbino, Italy.
J Math Biol. 1995;33(3):250-60. doi: 10.1007/BF00169563.
An SIR disease transmission model is formulated under the assumption that the force of infection at the present time depends on the number of infectives at the past. It is shown that a disease free equilibrium point is globally stable if no endemic equilibrium point exists. Further the endemic point (if it exists) is globally stable with respect to the whole state space except the neighborhood of the disease free state.
在当前感染强度取决于过去感染者数量这一假设下，构建了一个SIR疾病传播模型。结果表明，如果不存在地方病平衡点，无病平衡点是全局稳定的。此外，地方病平衡点（如果存在）在除无病状态邻域之外的整个状态空间内是全局稳定的。
