# Mathematical Modelling: Analysis and Applications

- Institution: IIT Roorkee
- Department: Mathematics
- Teacher: Prof. Ameeya Kumar Nayak
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111107113)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111107113)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Introduction to Mathematical Modeling](https://invisiblenetwork.ai/learn/nptel/111107113/35235897bcd0) (Video)
2. [Discrete Time Linear Models in Population Dynamics - I](https://invisiblenetwork.ai/learn/nptel/111107113/fd683f7b36d0) (Video)
3. [Discrete Time Linear Models in Population Dynamics - II](https://invisiblenetwork.ai/learn/nptel/111107113/953682d5a2c6) (Video)
4. [Discrete Time Linear Age Structured Models](https://invisiblenetwork.ai/learn/nptel/111107113/95d90ed7b560) (Video)
5. [Numerical Methods to Compute Eigen Values](https://invisiblenetwork.ai/learn/nptel/111107113/c64cf1dbcb9a) (Video)
6. [Discrete Time Non-Linear Models in Population Dynamics - II](https://invisiblenetwork.ai/learn/nptel/111107113/ffeddc497b74) (Video)
7. [Analysis on Logistic Difference Equation](https://invisiblenetwork.ai/learn/nptel/111107113/ceeb5cdd0e07) (Video)
8. [Classifications of Bifurcation](https://invisiblenetwork.ai/learn/nptel/111107113/f2cb13ee2b69) (Video)
9. [Discrete Time Non - Linear Models in Population Dynamics - II](https://invisiblenetwork.ai/learn/nptel/111107113/3d3a79ab3102) (Video)
10. [Discrete Time Prey - Predator Model](https://invisiblenetwork.ai/learn/nptel/111107113/49804306e1bb) (Video)
11. [Introduction to Continuous Time Models](https://invisiblenetwork.ai/learn/nptel/111107113/d7594df1e231) (Video)
12. [Solution of First Order First Degree Differential Equations](https://invisiblenetwork.ai/learn/nptel/111107113/18d80340d773) (Video)
13. [Continuous Time Models in Population Dynamics - I](https://invisiblenetwork.ai/learn/nptel/111107113/44440fe17fac) (Video)
14. [Continuous Time Models in Population Dynamics - II](https://invisiblenetwork.ai/learn/nptel/111107113/cd0a1f980aff) (Video)
15. [Stability and Linearization of System of Ordinary Differential Equations](https://invisiblenetwork.ai/learn/nptel/111107113/b0b0f1225b85) (Video)
16. [Continuous Time Single Species Models](https://invisiblenetwork.ai/learn/nptel/111107113/4d5fa27423e6) (Video)
17. [Qualitative Solution of Differential Equations - Phase Diagrams - I](https://invisiblenetwork.ai/learn/nptel/111107113/df036a334615) (Video)
18. [Qualitative Solution of Differential Equations - Phase Diagrams - II](https://invisiblenetwork.ai/learn/nptel/111107113/dd96a967d3eb) (Video)
19. [Continuous Time Lotka - Volterra Competition Model](https://invisiblenetwork.ai/learn/nptel/111107113/b67a7bb86efc) (Video)
20. [Continuous Time Prey - Predator Model](https://invisiblenetwork.ai/learn/nptel/111107113/9ead168246a3) (Video)