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Mathematical Modelling using Differential Equations by G.Priyanga

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**Mathematical Modelling using Differential Equations ** written by
** G.Priyanga**
** Title: ** An Introduction to Mathematical Modelling
** Author(s): ** G.Priyanga
** Publisher: **
** Series: **
** Year: ** 2014
** Pages: ** 35
** Type: ** PDF
** Language: ** English
** ISBN: ** India

** Download from Amazon : **

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**Mathematical Modelling using Differential Equations ** written by
** G.Priyanga**
cover the following topics.
**1. Tools and Theories in Differential equations **

1.1 Picard’s Existence and Uniqueness Theorem

1.2 Power Series Technique

1.2.1 Frobenius Method

1.3 Sturm-Liouville Problems

1.4 Sturm Theory

1.4.1 Applications
**2 Mathematical Modelling **

2.1 Dynamics of Language Death

2.1.1 Summary of Abram-Strogatz Model

2.2 Introduction to Mathematical Epidemiology

2.3 Learning from Journal papers

2.3.1 Dynamics of HIV

2.3.2 Spread of Typhoid Fever

2.3.3 Impact of Awareness on Epidemic Outbreaks

2.4 Working on a problem
**3 Modelling the impact of awareness programs on drug addiction**

3.1 Introduction

3.2 Mathematical Model

3.2.1 Other Features of the Model

3.2.2 Assumptions

3.2.3 Block Diagram

3.2.4 Equations describing the system

3.3 Analysis

3.3.1 Equilibrium State

3.3.2 Stability Analysis

3.4 Numerical Simulation .

3.4.1 Existence of Endemic Equilibrium

3.4.2 Effect of change of parameters on Endemic Equilibrium

3.4.3 Observations

3.5 Future Plans
**A Simulation Code in GNU Octave**

A.1 Plotting Endemic State

A.2 Effect of parameter change on Steady state

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