时滞HTLV-I病毒模型的稳定性  

The Stability of the Time-delay HTLV-I Virus Model

作　　者：张侣 张著洪[1] 

机构地区：[1]贵州大学系统科学及信息技术研究所,贵州贵阳550025

出　　处：《贵州大学学报（自然科学版）》2013年第1期1-4,9,共5页Journal of Guizhou University:Natural Sciences

基　　金：国家自然科学基金(61065010)

摘　　要：针对含时滞的HTLV-I病毒感染模型,探讨其在多个平衡点处渐近稳定的充分条件。首先,结合模型的固有特性,获状态的正性和有界性;进而,借助波动引理和稳定性理论,获证该模型在不同平衡点处的渐近稳定性由再生数的取值范围确定。数值实验验证表明,在给定再生数范围前提下,该模型是渐近稳定的,且时滞不影响模型的稳定性。For the model of HTLV-I virus infection with time-delay, some sufficient conditions of its asymptotic stability were investigated based on specific equilibrium points. First of all, combining with the intrinsic characteristics of such model, the positive property and boundedness of the state were obtained. Then, with the help of the fluctuation lemma and the stability theory, the asymptotic stability at each equilibrium point was acquired based on the range of the reproductive number. Numerical experiments show that the model is asymptotically stable while its stability is not influenced by time-delay.

关 键 词：HTLV-I病毒模型 再生数 稳定性 时滞 

分 类 号：O175.14[理学—数学]