| 带有年龄结构和治疗策略的连续和脉冲HIV/AIDS模型 |
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| 作者单位： | ;1.信阳师范学院数学与统计学院 |
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| 摘 要： | 研究了两类带有控制感染者的HIV/AIDS模型.对于带有连续疾病控制策略的HIV/AIDS模型,利用库恩-塔克(Kuhn-Tucker)条件讨论了最佳治疗策略.对于带有脉冲控制策略的HIV/AIDS模型,证明了当脉冲周期T和药物治疗比例p满足条件R0(p,T)1时,HIV感染者将得到彻底根除.
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| 关 键 词： | 连续感染控制策略 脉冲感染控制策略 感染年龄 发病年龄 |
Studies on Two Class-age-structured HIV/AIDS Models with Continuous and Impulsive Drug-treatment Strategies |
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| Institution: | ,College of Mathematics and Statistics,Xinyang Normal University |
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| Abstract: | Two HIV/AIDS models with continuous infection-control policy and impulsive infection-control policy were investigated. The optimal policy of the model with continuous disease-control policy was discussed by the KuhnTucker conditions. For the model with impulsive disease-control strategy,the eradication condition of HIV/AIDS were obtained,in which the impulsive period T and the drug-treatment proportion p satisfy R0( p,T) < 1. |
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| Keywords: | continuous infection-control policy impulsive infection-control policy infection age disease age |
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