Title: Network Epidemic Model with Adaptive Rewiring

Report Abstract:
The adaptive rewiring mechanism is considered in two network epidemic models. Using the idea of agestructure, we establish the non-Markovian SIR network model with fixed infectious period and preventive rewiring for each node and each link, then give the pairwise reproduction number and provide the formula for the final epidemic size by rigorous analysis and tedious computation. We realisze that the rewiring process does not occur immediately,but takes some time. We therefore establish a delayed SIS network model with adaptive rewiring mechanism and discuss the effect of adaptive rewiring delay in the model. We fund that with the rewiring time, there are infinite equilibria lie on a line in a high-dimensional state space, which is quite different from normal delayed model.

Speaker: Yuan Yuan

Date/Time: 16:00 – 17:00PM, September 17, 2019

Location: Room 403, CEM Building, Jiangjun Rd. Campus

Speaker Biography:
Yuan Yuan received his bachelor's degree from Wuhan University in 1984. her master's degree is from Western University in 1988, and her Ph.D. is from the University of Western Ontario in 2002. She was awarded the National Natural Science Foundation of Canada for a post-doctoral research at the University of Waterloo in 2002. Since September 2002, she has been employed by the Memorial University of Newfoundland in Canada, and she is currently a full-time professor and doctoral tutor in the Department of Mathematics and Statistics. Professor Yuan's main research interests include the stability and branch analysis of nonlinear dynamic systems, delay differential equations and their applications in neural networks and biomathematics, and the notation and numerical calculation of differential equations. She has published papers in major applied mathematics and biomathematics such as SIAM Journal of Applied Mathematics, Journal of Mathematical Biology, Journal of Mathematical Analysis and Applications, Journal of Differential Equations, Nonlinear Analysis: Real World Applications, SIAM Journal on Applied Dynamical Systems Sixty. The research results have been well received and cited by peers, and research has been funded by NSERC of Canada.