1. Epidemics on Attractors

2. Epidemics In Strongly Fluctuating Populations

3. Demographic Equation

4. Asymptotically Bounded Growth

5. Geometric Growth

6. Density Dependent Per Capita Growth Rate

7. Examples

9. Stability Of Cycles In connected metric spaces, n-cycles are not globally Stable (Elaydi & Yakubu, JDEA 2002).

11. Epidemic Model

12. Infection Process

13. Model Assumptions

14. S-I-S Epidemic Model

15. Questions

16. Asymptotically Bounded Growth

17. Global Stability

18. Geometric Growth

19. Global Stability

20. Illustrative Example

21. Questions

22. K-Cycle Attractors

23. S-Dynamics Versus I-Dynamics

24. S-I-S Epidemic Models With Delay

26. T-Dynamics

28. Dynamical Systems Theory

29. Conclusions

30. Discussion