摘要
研究了一类具有时滞和非线性感染率的HIV-1模型.借助于基本再生数和线性化模型的特征方程,获得了无病平衡点稳定性的阈值条件,并给出了无时滞和有时滞HIV模型间的地方病平衡点稳定性的蕴含关系.在此基础上,利用持续性理论得到了系统一致持续生存的充要条件.
An HIV-1 model with intracellular delay and nonlinear infection rate is investigated in this stud- y. By the basic reproduction numbers and the characteristic equations of the linearized model,the threshold conditions for the stability of the disease-free equilibrium are obtained, and the contain relations for the stability of the endemic equilibrium of the HIV models with and without time delay are given. Based on that, some sufficient and necessary conditions ensuring the uniform persistence of the model are obtained by using the persistence theory.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第3期84-90,共7页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金资助项目(10971240)
重庆市自然科学基金资助项目(CSTC2011BB0117
CSTC2012JJA40052)
重庆市教委科研项目(KJ120630
KJ110628
KJ120615)
教育部科技研究重点项目(212138)
