| 乔梅红,齐欢,刘安平,田天海.脉冲输入免疫因子的HBV模型的稳定性和持久性分析[J].数学年刊A辑,2011,32(2):173~184 |
| 脉冲输入免疫因子的HBV模型的稳定性和持久性分析 |
| Analysis of Stability and Permanence for an HBV Model with Impulsive Releasing Immune Factor |
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| DOI： |
| 中文关键词: 乙型肝炎病毒 数学模型 药物治疗 全局渐近稳定性 |
| 英文关键词:Hepatitis B virus Mathematical model Drug treatment Global asymptotic stability |
| 基金项目:国家自然科学基金(No.60774036); 湖北省自然科学基金重点项目(No.2008CDA063); 中央高校基本科研业务费专项资金优秀青年教师基金(No.CUGL100238)资助的项目 |
| Author Name | Affiliation | E-mail | | QIAO Meihong | School of Mathematics and Physics,China University of Geoscience(Wuhan),Wuhan 430074,China. | qiaomeihong@126.com | | QI Huan | Department of Control Science and Engineering,Huazhong University of Science and Technology,China. | qihuan@mail.hust.edu.cn | | LIU Anping | School of Mathematics and Physics,China University of Geoscience(Wuhan),Wuhan 430074,China. | wh_apliu@sina.com | | TIAN Tianhai | School of Mathematical Sciences, Monash University, Melbourne Vic 3800, Australia. | tianhai.tian@sci.monash.edu.au |
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| 中文摘要: |
| 提出了一个数学模型,用于研究脉冲投放免疫因子对HBV传染病动力学的影响.
通过利用脉冲微分不等式和比较定理,证明了HBV 模型的无病周期解的存在性, 给出了无病周期解的全局渐近稳定性和系统的持续性的充分条件.
研究结果表明: 短的投放周期或适当的免疫因子投放量可以导致HBV 的清除. |
| 英文摘要: |
| A mathematical model is proposed to study the transmission dynamics of hepatitis B virus (HBV) treated with impulsive releasing immune factor.
Using the impulsive differential inequality and comparative theorem, the authors investigate the existence of infection-free periodic solution of the impulsive HBV system, the sufficient conditions for the global asymptotic stability of the infection-free periodic solution and for the permanence of HBV. Analysis results indicate that a short releasing period of the immune factor or a proper pulse releasing quantity leads to the eradication of the HBV. |
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