摘要
将感染者数量作为实施媒体宣传的指标,利用阈值策略建立了一类具有非连续媒体影响的SIR传染病模型,分析了滑模区域、切点及边界平衡点分歧产生的条件,讨论了真(假、伪)平衡点及边界平衡点的存在性及稳定性.最后,通过数值模拟验证理论结果.
Considering the number of infected individuals as the index for media report and using threshold strategy, a class of SIR epidemic model with discontinuous media effects is formulated. We analyze the existence of sliding mode region, tangent equilibrium and boundary equilibrium bifurcation, and discuss the stability of the real, virtual, pseudo-equilibrium and boundary equilibrium. Finally, numerical simulations are carried out to support the theoretical results.
出处
《生物数学学报》
2018年第1期98-110,共13页
Journal of Biomathematics
基金
国家自然科学基金青年基金项目(11201277)
陕西省自然科学基金项目(2015JM011)
关键词
传染病模型
滑模动力学
稳定性
阈值策略
边界平衡点分歧
Epidemic models
Sliding mode dynamics
Stability
Threshold strategy
Boundary equilibrium bifurcation