Mahaffy J M
J Theor Biol. 1984 Jan 21;106(2):103-18. doi: 10.1016/0022-5193(84)90012-2.
An analysis of local behavior is made of two nonlinear models which incorporate both an induction or positive feedback control mechanism and a repression or negative feedback control mechanism. The systems of differential equations with delays are linearized about their equilibria. The related characteristic equations which are exponential polynomials are studied to determine the local stability of the models. Computer studies are included to show the range of stability for different parameter values, and the biological significance is discussed briefly.
对两个非线性模型进行了局部行为分析，这两个模型既包含诱导或正反馈控制机制，又包含抑制或负反馈控制机制。具有延迟的微分方程组在其平衡点附近被线性化。研究了作为指数多项式的相关特征方程，以确定模型的局部稳定性。还包括计算机研究，以展示不同参数值下的稳定范围，并简要讨论其生物学意义。
