一类人畜共患的传染病模型的研究  

A Study of the Zoonotic Infectious Disease Model

作　　者：张丽娟[1] 王福昌[1] 赵宜宾 

机构地区：[1]中国地震局,防灾科技学院,河北三河

出　　处：《运筹与模糊学》2016年第3期85-92,共8页Operations Research and Fuzziology

摘　　要：本文建立了一类畜类群体含潜伏期且潜伏期内有传染性的人畜共患传染病模型。该模型考虑了人感染变异毒株的影响,考虑了对患病畜类捕杀的策略来控制疾病,并讨论了无病平衡点的稳定性,以及系统的基本再生数。通过计算机仿真研究了捕杀系数以及免疫等参数对疾病的影响。This paper established a zoonotic infectious disease model with livestock population containing latent period and there is infectiousness in the latent period. The model considered the influence of strain variation for human and controlling the disease through hunting of the livestock with disease. We also discussed the stability of the disease-free equilibrium and the basic reproduction number of the system. By means of computer simulation, this paper studied the impact of parameters such as hunting coefficient, immune, etc. on diseases.

关 键 词：数学模型 疫苗免疫丧失 全局稳定性 基本再生数 

分 类 号：O1[理学—数学]