The repo contains python scripts as part of personal additional work on part of the course work in spring 2021 taught by Professor Ameeya Kumar Nayak, Department of Applied Mathematics and Computing, IIT Rookree
The course Mathematical Modelling aimed to teach the different techniques to construct mathematical models using finite difference method for different models. The model studied in the course contains
- Population dynamics
- Fibonacci models
- Linear cell divison model
- Linear difference equation with constant coefficients
- Linear Prey-Predator model
- Bernoulli-Lewis-Leslie model
- Non-Linear Cell division model
- Logistic Growth Function
- Logistic growth in prey-predator model
- Resource limiting prey-predator model
- Continuous Time modelling
- Chemostat model
- Allee Effect Model
- Lotka-Volterra model
- Continuous prey-predator model
The course aimed for the theoretical view only, I did the personal work of writing the python functions for the most of the above models for self analysing the concepts of bifurcation, analysis of the parameters involved. This helped me understand the different models much more depth and understand the useage and their limitation. This also helped me in much greater understanding of formation of methematical model for different problems.