一类旅游危机中的疫情传播模型及控制  

A Kind of Epidemic Spread Model in Traveling Crisis and Control

作　　者：李军红[1] 崔宁[1] 田生富 

机构地区：[1]河北建筑工程学院数理系 [2]张家口第十中学

出　　处：《河北建筑工程学院学报》2008年第1期107-108,111,共3页Journal of Hebei Institute of Architecture and Civil Engineering

摘　　要：结合病毒对旅游经济的影响及其在旅游者数量上的具体体现,将易感者和感染者作为动态系统中的被捕食种群和捕食种群,建立了具密度制约的种群竞争模型,得到了无病平衡点和地方病平衡点的渐近稳定性和疫情的控制对策.Combining with the impact of virus on tourism economy and the number of tourists, taking susceptibles and infectives during their travels as two competitive populations in a dynamic system, the paper establishes a populating competition differential equation which seems to contain logistic terms, thus obtaining the asymptotic stability of fixed point and getting the suitable strategy to the epidemic situation.

关 键 词：旅游危机 密度制约 无病平衡点 地方病平衡点 渐近稳定性 

分 类 号：O175[理学—数学]