数学与计算机科学 国家本科生科研经验项目 (NREUP)

自2020年初出现以来, COVID-19 has affected over 100 million people worldwide and killed at least 3 million. The pandemic has prompted an unprecedented global response which has included global lock-downs, 旅行限制, 以及大规模的疫苗开发和推广计划.

在大流行期间, mathematical modeling has played a primary role in guiding public policy interventions by forecasting the disease’s spread under a variety of public policy interventions. The disease, meanwhile, has cruelly and disproportionately affected minority communities, 比如底特律大都会区和密歇根州更广大的地区, where the case mortality rate is over twice as high for blacks as whites.

The primary objective of this project is engaging black students in vital mathematical research with the goal of creating an enduring environment of opportunity and inclusion for the black community in the Metro Detroit region.

Research Focus

We will focus on developing and analyzing 动力系统 models of disease spread, 重点是COVID-19. We will start by considering the SIR (Susceptible-Infected-Removed) model for the spread of an infectious disease. We will then brainstorm for further features to incorporate in our models which would be relevant to the dynamical behavior of COVID-19. We have identified the following questions as starting points for our discussion.

1. The spread and lethality of COVID-19 has varied significantly across different regions, age groups, and ethnicities. In light of this, can we meaningfully incorporate regional and demographic variation into our models? Do these models supporting implementing different interventions strategies for different subpopulations?
2. Normal screening protocols like symptom reporting and temperature checks do not catch asymptomatic spreaders of COVID-19. 我们能否将无症状传播纳入我们的模型? Do these models justify the population-wide lock-downs and quarantines we have seen?
3. The transmission of COVID-19 is influenced by social behavior while, conversely, adherence to restrictive social behaviors is influenced by the prevalence of disease. Can we capture the dynamic interplay between disease spread and social behavior in our models? Are these models sufficient to explain the disease dynamics we have seen, 比如感染的第二波?

The program will focus on building mathematical models of infectious disease spread using tools from 动力系统 theory. 这是数学流行病学的一个重要应用, which utilizes mathematical tools from several different topic areas, 包括微积分, linear algebra, 微分方程, 动力系统, 科学计算.

• Antwan Green, Project Title: Vivacious Vaccines and the Spread of Immunity
• Steven Harris, Project Title: College Residence Life COVID-19 Quarantine and Athletics Analysis
• Jalen Jackson, Project Title: The Impact of Social Distancing and Vaccination on Controlling COVID-19 Outbreaks in Michigan
• Temidayo Ogunmodede, Project Title: How COVID-19 Has Affected Individual States in the USA
• Noah Stamboulieh, Project Title: The Effect of the Vaccination Rate and Social Distancing on the Severity of Our COVID-19 Pandemic

The following is a schedule of group events, lectures, and presentations. Unscheduled time will be spent on independent and group research activities. 校内活动将在 S126 剩下的将通过Zoom提供.

Student Events

Public Events

下面的事件是  公开的  通过缩放链接 . 下面所有的演讲都是从1-2点开始.m. ET，除非另有说明.