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Course11110711320 lectures

Mathematical Modelling: Analysis and Applications

Prof. Ameeya Kumar Nayak · IIT Roorkee

Start with lecture 1 At NPTEL

Lectures

Unit-1

  1. Introduction to Mathematical Modeling Video
  2. Discrete Time Linear Models in Population Dynamics - I Video
  3. Discrete Time Linear Models in Population Dynamics - II Video
  4. Discrete Time Linear Age Structured Models Video
  5. Numerical Methods to Compute Eigen Values Video

Unit-2

  1. Discrete Time Non-Linear Models in Population Dynamics - II Video
  2. Analysis on Logistic Difference Equation Video
  3. Classifications of Bifurcation Video
  4. Discrete Time Non - Linear Models in Population Dynamics - II Video
  5. Discrete Time Prey - Predator Model Video

Unit-3

  1. Introduction to Continuous Time Models Video
  2. Solution of First Order First Degree Differential Equations Video
  3. Continuous Time Models in Population Dynamics - I Video
  4. Continuous Time Models in Population Dynamics - II Video
  5. Stability and Linearization of System of Ordinary Differential Equations Video

Unit-4

  1. Continuous Time Single Species Models Video
  2. Qualitative Solution of Differential Equations - Phase Diagrams - I Video
  3. Qualitative Solution of Differential Equations - Phase Diagrams - II Video
  4. Continuous Time Lotka - Volterra Competition Model Video
  5. Continuous Time Prey - Predator Model Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Roorkee
Department
Mathematics
Teacher
Prof. Ameeya Kumar Nayak
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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