肌型血管生物数学模型的渐近解(Ⅰ)

APPROXIMATION SOLUTIONS IN THE BIOMATHEMATICAL MODEL OF MUSCULAR BLOOD VESSEL (Ⅰ)

采用摄动方法中的两变量展开法 ,求得了具小阻尼、弱外激励的肌型血管生物数学模型¨x +2εB x +Ax +εγx3=εEcosωt (0 <ε 1 )在非共振与共振两种情况下的首次渐近解 ,并讨论了其在生物学上的意义 .

This paper studies the model: +2εB+Ax+εγx 3=εE cos ωt (0<ε1) .The approximation solutions are given to the biomathematical model of muscular blood vessel under two cases. The expansion method for two variables of perturbation theory is used and the biological significance of the result is explained.