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南师大生物数学系列报告(五): The impact of hospital resources and environmental perturbations to the dynamics of SIRS model
报告人:原三领教授,上海理工大学 时间:2021年11月8日9:30-10:30 字号:

邀请人:万辉 副教授

腾讯会议号:618 640 206



摘要:Incorporating the environmental perturbations and available resources of the public health system, we construct both deterministic and stochastic models of SIRS type. The deterministic model exhibits very rich dynamics, such as Hopf bifurcation and backward bifurcation which leads to the co-existence of the stable disease-free state and a stable endemic equilibrium. For the stochastic model, we show that under mild extra conditions, if the basic reproduction number is less than one, then the disease will be eradicated almost surely, and if the basic reproduction number is greater than one, the stochastic model will admit a unique ergodic stationary distribution, which implies that the disease persists almost surely. Part of our numerical simulations indicate that: (i) The introduction of environmental perturbations may drift the endemic equilibrium to the disease-free equilibrium, or vice versa; (ii) Increasing available resources is necessary in order to mitigate the infections.


个人简介:

原三领,教授,博士生导师,上海理工大学应用数学学科负责人,中国数学会生物数学学会常务理事,美国《Mathematical Reviews》评论员。研究方向为:微分方程与动力系统、生物数学。曾先后主持4项国家自然科学基金面上项目、3项上海市教委项目的研究工作。研究内容涉及微分方程与动力系统、种群动力学、流行病动力学、海洋生态学以及生物化学工程等诸多领域,具有多学科交叉的特点。曾多次受邀到国内和国际多所高校进行合作研究和学术交流。已在Journal of Differential EquationsJournal of Mathematical BiologyBulletin of Mathematical BiologyJournal of Theoretical Biology等国内外重要学术刊物上发表SCI论文90余篇。


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