自我防护措施对疟疾传播动力学的影响  

The influence of self-protection measures on transmission dynamics of malaria model

作　　者：嵇燕[1] 朱敏[1,2] 刘春平[1] 

机构地区：[1]扬州大学数学科学学院,江苏扬州225002 [2]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《扬州大学学报（自然科学版）》2017年第2期5-9,共5页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(NSFC11371311);江苏省普通高校研究生科研创新资助项目(KYZZ16_0489)

摘　　要：建立了一类具自我防护措施的疟疾模型,并探讨了人群的自我防护因素对疟疾传播的影响.模型构建中采用蚊帐使用率来反映对疟疾防护能力的大小,并结合基本再生数R_0,利用迭代法分析疟疾病毒的传播动力学特征.结果表明,在蚊帐使用率p满足一定条件的前提下,当R_0<1时,无病平衡点全局渐近稳定;当R_0>1时,地方病平衡点全局渐近稳定.The author constructs a malria model with self-reproduction and investigates the impact of the self-reproduction of human population on the transmission of malaria model. In the formulation of the model, the utilization rate of bed nets is introduced to represent the ability and efficacy of self-reproduction. Combining with the basic reproduction number, this paper analyzes the dynamics characteristics of malaria transmission by using the iteration method. The results show that, if R0〈1, disease free equilibrium is global asymptotically stable, while if R0〉1, endemic equilibrium is global asymptotically stable under certain assumptions of p.

关 键 词：疟疾模型 基本再生数 稳定性 自我防护能力 

分 类 号：O175.13[理学—数学]