一类白血病时滞微分方程平衡点稳定性的新结果
New results concerning the stability of equilibria of a delay differential equation modeling leukemia
摘要:
研究了一类时滞微分方程平衡解的稳定性。在文献[5]和[6]中已经研究了该方程,重点是周期解的数值研究。在这些工作中也提出了一些平衡点的稳定性结果,但它们是不完整的,包含一些错误。我们的工作旨在完成这些结果并对其进行更正。采用李雅普诺夫一阶近似法和二阶李雅普诺夫近似法。
英文摘要:
The paper is devoted to the study of stability of equilibrium solutions of a delay differential equation that models leukemia. The equation was previously studied in [5] and [6], where the emphasis is put on the numerical study of periodic solutions. Some stability results for the equilibria are also presented in these works, but they are incomplete and contain some errors. Our work aims to complete and to bring corrections to those results. Both Lyapunov first order approximation method and second Lyapunov method are used.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。