Mathematical Epidemiology: Models and Analysis
系列讲座（6月11日---6月27日）
主讲人： Michael Y. Li教授
主讲人单位：加拿大Alberta University
时间地点待定
具体内容如下，欢迎参加
1 Introduction
1.1 Mathematical modeling of infectious diseases: issues and approaches
1.2 Deterministic epidemic models: compartmental approach
1.3 An example: the models of Kermack-McKendrick
1.4 Important concepts in compartmental models
2 Mathematical Analysis
2.1 Kermack-McKendrick model
2.2 A model for disease with no immunity
2.3 A model with demography
2.4 A SIR model with varying total population - homogeneous systems
2.5 Ross-MacDonald model for Malaria - a monotone system
3 Basic Tools and Techniques
3.1 Stability of equilibrium solutions
3.2 Stability analysis by linearization
3.3 Stability analysis using Lyapunov functions
3.4 Stability of periodic solutions: the Floquet theory
3.5 Global dynamics of 1-dimensional systems: phase-line analysis
3.6 Global dynamics of 2-dimensional systems: phase-plane analysis
3.7 Metzler matrices and monotone systems
4 Nonlinear Least-Square Problem
4.1 Curve fitting and linear least-square problem
4.2 Nonlinear least-square problem
4.3 Parameter identification for epidemic models
