Infectious Disease Modeling

Part I. Mathematical Background

1. Basic Theory
Xinzhi Liu, Peter Stechlinski

2. Hybrid and Switched Systems
Xinzhi Liu, Peter Stechlinski

Part II. Hybrid Infectious Disease Models

3. The Switched SIR Model
Xinzhi Liu, Peter Stechlinski

4. Epidemic Models with Switching
Xinzhi Liu, Peter Stechlinski

Part III. Control Strategies

5. Switching Control Strategies
Xinzhi Liu, Peter Stechlinski

6. Pulse Control Strategies
Xinzhi Liu, Peter Stechlinski

7. A Case Study: Chikungunya Outbreak in Réunion
Xinzhi Liu, Peter Stechlinski

Part IV. Conclusions and Future Work

8. Conclusions and Future Directions
Xinzhi Liu, Peter Stechlinski

Keywords: Mathematics, Mathematical Modeling and Industrial Mathematics, Infectious Diseases, Complexity, Applications of Nonlinear Dynamics and Chaos Theory, Epidemiology