摘要
研究了一类具有媒体影响和饱和治疗函数的SIR传染病模型,计算了基本再生数R_(0),并分析了模型平衡点的存在性和稳定性。当R_(0)<R*_(0)<1时,无病平衡点E_(0)全局渐近稳定;当R_(0)>1时,地方病平衡点E_(1)全局渐近稳定。最后,通过数值分析验证结论。
A class of SIR infectious disease models with media-influenced and therapeutic functions is studied.The existence of the basic regeneration number R_(0)and the equilibrium point of the model are obtained.When R_(0)<R*_(0)<1,the disease-free equilibrium point E_(0)is globally asymptotically stable.When R_(0)>1,the endemic equilibrium point E_(1)is globally asymptotically stable.Finally,the conclusion is verified by numerical analysis.
作者
李一程阳
张睿
LI Yi-cheng-yang;ZHANG Rui(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)
出处
《滨州学院学报》
2022年第6期52-56,共5页
Journal of Binzhou University
基金
国家自然科学基金项目(12071249)
山东省自然科学基金杰出青年基金项目(ZR2021JQ01)。
