环境制约条件下含两菌株寄生虫的传染模型  

The Infection Model with Two Strains of Parasite Under Environment Restriction Conditions

作　　者：张剑[1] 张宏民[1] 

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006

出　　处：《数学的实践与认识》2016年第13期287-292,共6页Mathematics in Practice and Theory

基　　金：黑龙江省自然科学基金(A201422)

摘　　要：研究了环境制约条件下含两菌株寄生虫的传染模型,结合流感病毒的传播规律,考虑同一亚型不同毒株之间的传染病模型.讨论了模型各个平衡点的存在条件,局部渐近稳定的条件,并对模型进行了数值模拟,很好的验证了模型的相关性质和特点.In this paper, an infection model with two strains of parasite under environment restriction conditions is researched. Combined with the spread of influenza virus rule, it considers the same subtypes of infectious disease model between different strains. The existential condition and local asymptotic stability of equilibrium are also discussed. By the numerical simulation of the model, the relative properties and characters of the model are proved.

关 键 词：传染模型 平衡点 渐近稳定 数值模拟 

分 类 号：O175[理学—数学]