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# Project Topic: MATHEMATICAL MODELING OF THE EFFECT OF IRRESPONSIBLE IMMIGRANT ON THE TRANSMISSION DYNAMICS OF HIV

• Type: Project
• Department: Mathematics
• Project ID: MTH0076
• Price: ₦3,000 (\$20)
• Chapters: 5 Chapters
• Pages: 39 Pages
• Methodology: Statistical Analysis
• Reference: YES
• Format: Microsoft Word
• Views: 526

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ABSTRACT

This project proposes a non – linear mathematical model to study the effect of irresponsible infected immigrants on the spread of HIV/AIDS in a heterogeneous population with a constant recruitment of susceptible. The equilibrium points, stability analysis and numerical simulation on the model are presented. It is realised that at the disease – free equilibrium, the model is stable when the basic reproduction number R0<1 and unstable otherwise. The Routh – Hurwitz stability condition was employed to examine the stability of the disease – free equilibrium. Also, the endemic equilibrium is stable as it satisfies the Bellman and Cooke’s condition for stability. The analysis further shows that strict immigration policies such as screening and reduction in the number of immigrants into a given population, and behavioural change of all classes of individuals should be considered in efforts aimed at controlling the spread of the disease.

COVER PAGE

TITLE PAGE                                                                                                                              i

DECLARATION                                                           ii

DEDICATION                                                                            iii

APPROVAL PAGE                                                                                                                  iv

ACKNOWLEDGEMENT                                                                                                        v

TABLE OF CONTENT                                                                                                            vi

ABSTRACT                       viii                                                                                                                                                                                                                                                                                                                                                                                                                                                     CHAPTER ONE: INTRODUCTION

1.1   Background of Study                                                                                                       1

1.2   Statement of the Problem         5

1.3   Aim and Objectives of the Study

1.4   Significance of Study                                                                6

1.5   Scope of the Study                                                                                                           7

1.6   Operational Definition of Terms                                                                               8

CHAPTER TWO: LITERATURE REVIEW

2.0       Introduction                                                                                                                     10

2.1       Modeling Infectious Disease    10

CHAPTER THREE: METHODOLOGY

3.0       Introduction                                    15

3.1       Existing Model Formation and Equilibrium States          15

3.2       Modified Model                              17

3.3       Equilibrium State of the Model               20

CHAPTER FOUR: STABILITY ANALYSIS OF THE EQUILIBRIUM STATES

4.1       Stability of Disease – free Equilibrium State            23

4.2       Stability of the Endemic Equilibrium State                                                                       29

CHAPTER FIVE: SUMMARY, CONCLUSION AND RECOMMENDATIONS

5.1       Summary                                                                                                   35

5.2       Conclusion                                                            35

5.3       Recommendation                                                                    36

REFERENCE

MATHEMATICAL MODELING OF THE EFFECT OF IRRESPONSIBLE IMMIGRANT ON THE TRANSMISSION DYNAMICS OF HIV
+234 8130 686 500
or
+234 8093 423 853

• Type: Project
• Department: Mathematics
• Project ID: MTH0076
• Price: ₦3,000 (\$20)
• Chapters: 5 Chapters
• Pages: 39 Pages
• Methodology: Statistical Analysis
• Reference: YES
• Format: Microsoft Word
• Views: 526
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 Type Project Department Mathematics Project ID MTH0076 Price ₦3,000 (\$20) Chapters 5 Chapters No of Pages 39 Pages Methodology Statistical Analysis Reference YES Format Microsoft Word

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