Instructor: John Gemmer
Office: Manchester #388
E-mail: gemmerj@wfu.edu Office Hours: Monday 3-4, Tuesday 12-1, Tuesday 2-3, Wednesday 12-2
Lecture: TR: 3:30-4:45, Kirby Hall 108
Textbooks: Martcheva, Maia. An introduction to mathematical epidemiology. Vol. 61. New York: Springer, 2015.
Course Handouts:
1. Syllabus: (.pdf)
2. Homework Policy: (.pdf)
3. Latex Templates
4. Overleaf
5. Rubric for Final Report: (.pdf)
Additional Reading:
1. Survey of Spreading Processes on Complex Networks (.pdf)
2. Mean Field Approximations (.pdf)
Mathematica Notebooks:
1. Data fitting for SIR model (.nb)
2. Determining total number of infected (.nb)
3. SIR model with demography (.nb)
4. Limit cycle example (.nb)
Matlab Scripts:
1. SIS averaging with link dynamics (.m)
2. Fitting SIR model to data (.m)
3. Model comparison with data (.m)
4. Sensitivity Analysis (.m)
5. Optimal Treatment (.m)
6. Forward Backward Sweep Example (.m)
Term Paper Projects:
1. Chapter 4: Vector-Borne Diseases
2. Chapter 8: Multistrain Disease Dynamics
3. Chapter 10: Ecological Context of Epidemiology
4. Chapter 11: Zoonotic Disease, Avian Influenza, and Nonautonmous Models
5. Chapter 12: Age-Structured Models
6. Chapter 13: Class-Age Structure Epidemic Models
7. Chapter 14: Immuno-Epidemiological Modeling
8. Chapter 15: Spatial Heterogeneity in Epidemiological Models
9. Chapter 16: Discrete Epidemic Models
Recorded Videos of Lectures:
1. Lecture 1: (youtube)
2. Lecture 2: (youtube)
3. Lecture 3: (youtube)
4. Lecture 4: (youtube)
5. Lecture 5: (youtube)
6. Lecture 6: (youtube)
7. Lecture 7: (youtube)
8. Lecture 8: (youtube)
9. Lecture 9: (youtube)
10. Lecture 10: (youtube)
11. Lecture 11: (youtube)
12. Lecture 12: (youtube)
Lecture Notes:
1. Lecture 1: SIR Model (.pdf).
2. Lecture 2: SIS Model (.pdf).
3. Lecture 3: SIR Model with Demography (.pdf).
4. Lecture 4: Stability Analysis (.pdf).
5. Lecture 5: Global Stability Analysis (.pdf).
6. Lecture 6: Static Networks (.pdf).
7. Lecture 7: Edge Dynamics (.pdf).
8. Lecture 8: More Exotic Moment Closures (.pdf).
9. Lecture 9: Jacobian Approach to R0 (.pdf).
10. Lecture 10: Next Generation Approach to R0 (.pdf).
11. Lecture 11: Model Selection and Sensitivity Analysis (.pdf).
12. Lecture 12: Global Stability and Lyapunov Functions (.pdf).
13. Lecture 13: Basics of Optimal Control Theory (.pdf).
Exam Solutions:
1. Exam 1: (solutions.pdf)
2. Exam 2: (solutions.pdf)
Homework Assignments:
1. Homework #1: (Due 09/03/21): (.pdf). (solutions.pdf)
2. Homework #2: (Due 09/09/21): (.pdf). (solutions.pdf)
3. Homework #3: (Due 09/24/21): (.pdf). (solutions.pdf)
4. Homework #4: (Due 10/15/21): (.pdf). (solutions.pdf)
5. Homework #5: (Due 10/29/21): (.pdf). (solutions.pdf)
6. Homework #6: (Due 11/18/21): (.pdf). (solutions.pdf)
7. Homework #7: (.pdf). (solutions.pdf)
Computational Assignments:
1. Computational Assignment #1: (Due 09/24/21): (.pdf).
2. Computational Assignment #2: (Due 10/01/21): (.pdf).
3. Computational Assignment #3: (Due 10/22/21): (.pdf).