带有饱和接触率和垂直传染的两病株病原体的共存性(英文)  

Coexistence of a Two-Strain Pathogen with Saturating Contact Rates and Vertical Transmission

作　　者：王海勇[1] 裴永珍[1] 李长国[2] 

机构地区：[1]天津工业大学理学院,天津300387 [2]军事交通学院基础部,天津300161

出　　处：《生物数学学报》2011年第4期625-630,共6页Journal of Biomathematics

基　　金：National Natural Science Foundation of China(11101305)

摘　　要：讨论了带有饱和接触率和垂直传染的两病株病原体的共存性,获得了共存性存在的充要条件R_2（N_2~＊）〈R_1（N_2~＊）,R_1（N_1~＊）〈R_2（N_1~＊）,并且在共存平衡点存在的条件下证明得到其局部稳定.By introducing saturating contact rates and vertical transmission,this paper deals with dynamical behaviors of a mathematical model with two-strain pathogen. Necessary and sufficient condition of the existence of coexistence equilibrium are obtained. If the coexistence equilibrium exists,it is locally asymptotically stable.

关 键 词：饱和接触率 垂直传染 再生数 共存平衡点 

分 类 号：O175.13[理学—数学]