2. Outline Models’ equations Some mathematical properties.
Classification of equilibrium points
About limit cycles and saddle loop
Phase portraits.
Summary

3. Models’ equations:

4. Mathematical analysis
Nullclines:

5. Mathematical analysis
Number of equilibrium points

6. Mathematical analysis
Divergence curve
Theorem :the divergence curve has exactly one minimum and one maximum point.

7. Mathematical analysis

8. Mathematical analysis
I-V relation

9. Invariant sets

10. Invariant sets ( equilibriums)

11. Invariant sets ( limit cycle)

12. Invariant sets ( Homoclinic loop)

13. Phase portraits

14. Phase portraits in absence of A and B

15. Phase portraits with one segment

16. Phase portraits with two segment

17. Phase portraits with two segment

18. Phase portraits with two segment

19. Phase portraits with two segment

20. Phase portraits with two segment

21. Phase portraits with two segment

22. Summary(ML Model with one segment)

23. Summary(ML Model with two segment)

24. Tanks for your attention