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Mathematical Model On Human Population Dynamics Using Delay Differential Equation

5 Chapters
|
42 Pages
|
8,681 Words
|
Mathematics

Complete Mathematical Model On Human Population Dynamics Using Delay Differential Equation Project Materials (Chapters 1 to 5):

ABSTRACT

Simple population growth models involving birth rate, death rate, migration, and carrying capacity of the environment were considered. Furthermore, the particular case where there is discrete delay according to the sex involved in the population growth were treated. The equilibrium and stability analysis of each of the cases were considered also. The stability analysis shows that the discrete delays in the population growth lead to instability in the growth.

TABLE OF CONTENT

Certification
Dedication
Acknowledgement
Abstract
Table of Contents

Chapter One
1.0 Introduction
1.1 Objective of the Work
1.2 Significance of the Work
1.3 Scope of the Work

Chapter Two
2.0 Literature Reviews

Chapter Three
3.0 Terminologies and Population Growth Model
3.1 Population Growth
3. 2 Population Growth Rate (PGR)
3.3 Delays in a Population Growth
3.4.0 Determination of Population Growth
3.4. 1 Birth Rate
3.4.2 Death Rate
3.4.3 Migration
3.4.4 Carrying Capacity
3.5 Population Growth Model Using Birth and Death Rates
3.6 Population Growth Model Using Birth, Death and Migration
3.7 Population Growth Model Using Birth, Death, Migration and Carrying Capacity
3.8 Basic Concept of Delay Different Equations
3. 9 Biological Mechanism Responsible for Time Delay

Chapter Four
4.1.0 Population Growth of Men Using Delay Differential Equation
4.1.1 Delay Differential Equation for Juvenile
4.1. 2 Delay Differential Equation for Adult
4.2.0 Population Growth of Women Using Delay Different Equation
4.2.1 Delay Differential Equation for Juvenile
4.2.2 Delay Differential Equation for Child Bearing Age
4.2.3 Delay Differential Equation for Adult
4. 3.0 Equilibrium Analysis
4.4.0 Stability Analysis
4.4.1 Stability Analysis for Men..
4.4.2 Stability Analysis for Women

Chapter Five
5.1.0 Discussion of the Result
5.1.1 Conclusion
5.1.2 Recommendation
Reference

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Project Structure

The introduction of Mathematical Model On Human Population Dynamics Using Delay Differential Equation should start with the relevant background information of the study, clearly define the specific problem that it addresses, outline the main object, discuss the scope and any limitation that may affect the outcome of your findings

Literature Review of Mathematical Model On Human Population Dynamics Using Delay Differential Equation should start with an overview of existing research, theoretical framework and identify any gaps in the existing literature and explain how it will address the gaps

Methodology of Mathematical Model On Human Population Dynamics Using Delay Differential Equation should describe the overall design of your project, detail the methods and tools used to collect data explain the techniques used to analyse the collected data and discuss any ethical issues related to your project

Results should include presentation of findings and interpretation of results

The discussion section of Mathematical Model On Human Population Dynamics Using Delay Differential Equation should Interpret the implications of your findings, address any limitations of your study and discuss the broader implications of your findings

The conclusion of Mathematical Model On Human Population Dynamics Using Delay Differential Equation should include summarize the main results and conclusions of your project, provide recommendations based on your findings and offer any concluding remarks on the project.

References should List all the sources cited in Mathematical Model On Human Population Dynamics Using Delay Differential Equation project by following the required citation style (e.g., APA, MLA, Chicago).

The appendices section should Include any additional materials that support your project (Mathematical Model On Human Population Dynamics Using Delay Differential Equation) but are too detailed for the main chapters such as raw data, detailed calculations etc.