一类合成毒品传播模型的动力学分析  

Dynamic Analysis of a Class of Synthetic Drug Propagation Model

作　　者：尹力 王文龙[1] YIN Li;WANG Wenlong(College of Science,Northeast Forestry University,Harbin 150000,China)

机构地区：[1]东北林业大学理学院,黑龙江哈尔滨150000

出　　处：《牡丹江师范学院学报（自然科学版）》2021年第4期7-11,共5页Journal of Mudanjiang Normal University：Natural Sciences Edition

基　　金：中央高校基本科研业务费专项资金项目(DL13BB17)。

摘　　要：构建一类合成毒品滥用者接受治疗前后的传染性模型.研究表明:当R_(0)<1时,时滞τ不影响无合成毒品滥用平衡点E_(0)的稳定性;当R_(0)>1时,合成毒品传播平衡点E*产生纯虚根条件.数值模拟验证了此结论.To model a class of synthetic drug abusers as infectious before and after treatment,Studies have shown that when R_(0)<1,the time delayτdoes not affect the stability of equilibrium point E_(0) without synthetic drug abuse,and when R_(0)>1,the conditions for the production of pure imaginary roots of equilibrium point E*with synthetic drug propagation,The results are verified by numerical simulation.

关 键 词：合成毒品 时滞 稳定性 纯虚根 

分 类 号：O175[理学—数学]