延迟和冲动药物治疗对具有CTLS免疫反应的HIV模型的影响

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Journal of Applied Analysis and Computation Pub Date : 2021-01-01 DOI:10.11948/20190418

Lin-Xia Hu, L. Nie

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引用次数: 0

摘要

考虑到免疫反应和药物治疗对HIV治疗的影响，提出了一种考虑ctl免疫反应的HIV数学控制模型，其中引入了病毒侵袭延迟和脉冲药物治疗。利用比较定理、微分不等式理论和解析方法，研究了无病毒周期解的存在性和全局稳定性的阈值，以及无ctl免疫应答的疾病的一致持续性。数值模拟说明了主要理论结果和药物治疗的可行性。我们的理论结果表明，长期和标准化的药物治疗可以延长病毒的感染过程和传播，或将病毒浓度抑制在可检测水平以下。

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THE EFFECTS OF DELAY AND IMPULSIVE DRUG THERAPY IN AN HIV MODEL WITH CTLS IMMUNE RESPONSE

Considering the effects of immune response and drug therapy on HIV treatment, an HIV mathematical control model with CTLs immune response is therefore proposed, where the delay of virus invasion and impulsive drug therapy are introduced. By utilizing the comparison theorem, differential inequality theories and analytic method, the threshold values for the existence and global stability of the virus-free periodic solution, and the uniform persistence of disease without CTLs immune response are studied. Numerical simulations are performed to illustrate the main theoretical results and the feasibility of drug therapy. Our theoretical results suggest that long-term and standardized medication can prolong the infection process and spread of the virus, or suppress the virus concentration below the detectable level.

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来源期刊

Journal of Applied Analysis and Computation MATHEMATICS, APPLIED-

CiteScore

2.30

自引率

9.10%

发文量

期刊介绍： The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published quarterly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.