一类由Lambert W函数确定的差分方程的定性分析

Qualitative analysis of a class of difference equations formulated by the Lambert W function

摘要: 将一类差分方程的解转化为Lambert W函数的不动点进行研究,探讨其正平衡态的存在性条件、局部稳定性条件和全局稳定性条件,并将其应用到药物动力学模型.

Abstract: We investigate the general difference equation determined by the Lambert W function,and obtain the conditions for the existence,local stability and global stability of the equilibrium.Meanwhile,we use them in pharmacokinetics.