NOC:Mathematical Modelling: Analysis and Applications


Lecture 1 - Introduction to Mathematical Modeling


Lecture 2 - Discrete Time Linear Models in Population Dynamics - I


Lecture 3 - Discrete Time Linear Models in Population Dynamics - II


Lecture 4 - Discrete Time Linear Age Structured Models


Lecture 5 - Numerical Methods to Compute Eigen Values


Lecture 6 - Discrete Time Non-Linear Models in Population Dynamics - I


Lecture 7 - Analysis on Logistic Difference Equation


Lecture 8 - Classifications of Bifurcation


Lecture 9 - Discrete Time Non - Linear Models in Population Dynamics - II


Lecture 10 - Discrete Time Prey - Predator Model


Lecture 11 - Introduction to Continuous Time Models


Lecture 12 - Solution of First Order First Degree Differential Equations


Lecture 13 - Continuous Time Models in Population Dynamics - I


Lecture 14 - Continuous Time Models in Population Dynamics - II


Lecture 15 - Stability and Linearization of System of Ordinary Differential Equations


Lecture 16 - Continuous Time Single Species Models


Lecture 17 - Qualitative Solution of Differential Equations - Phase Diagrams - I


Lecture 18 - Qualitative Solution of Differential Equations - Phase Diagrams - II


Lecture 19 - Continuous Time Lotka - Volterra Competition Model


Lecture 20 - Continuous Time Prey - Predator Model