Concept and formulation of mathematical modelling, Classification and limitation of mathematical models, Single species models, Stability and classification of equilibrium points, Relation between eigenvalues and critical points.

Introduction of Single species (non-age structured) models, Formulation, Solution and limitation of the Exponential growth model, Effect of immigration and emigration on population, Formulation, Solution and limitation of the Logistic Growth model, Extension of the Logistic model.

Introduction of Single species (age structured) models continuous and discrete both, Lotka’s Model for population growth, BLL(Bernardelli, Lewis and Leslie) model, eigen values and eigen vectors of the leslie matrix, Stable age structure, Asymptotic formulae for the population of different age groups.

Formulation and solution of Continuous – Time Discrete – Age Population model, Effect of change in birth rate and death rate, Age-structure of two populations, MC Kendrick approach to age scale models.

Introduction, basic concept of fluid dynamics, Poiseuille’s flow, Model for Blood flow, Properties of blood, Bifurcation in an artery, Pulsatile flow of blood, Trans-Capillary exchange, Sedimentation.