ABSTRACT
In this research work, Mathematical Model for Cholera Transmission Dynamics in Rubaga Kampala District of Uganda, SBIR model was developed and analyzed. The model consists of five non liner ordinary differential equations. The effective reproductive number, (the number of secondary infections when a single infective individual is introduced into a population where a proportion is protected) was obtained. Further the disease free and endemic equilibrium where obtained and analyzed for stability. Numerical simulation of the various state variables where obtained using mattab software. And it shows that the vaccination is capable of reducing the number of susceptible when the coverage is high.
TABLE OF CONTENTS
Contents
DECLARATION .1
.TUUKO HENRY
1163-07184-06345
APPROVAL ii
DEDICATION iii
ACKNOWLEDGEMENTS iv
ABSTRACT vii
CHAPTERONE 1
INTRODUCTION 1
1.1 background of the study 1
1.2 problem statement 2
1.3 objectives of the study 2
1.4 Purpose of the study 2
1.5 Significance 2
1.6 Research questions 3
1.7 Scope of the study 3
CHAPTER TWO~ 4
LITERATURE REVIEW 4
2.l virology and medical background 4
2.2 Transmission, signs and symptoms 4
2.2.1 Transmission 4
2.2.2 Symptoms 4
2.3 Diagnosis, treatment and prevention 4
2.3.1 Diagnosis 4
2.3.2 Treatment 4
2.3.3 Prevention of Cholera 5
2.4 Pathogenesis and life cycle s
2.4.1 Pathogenesis 5
2.4.2 Life cycIe’ . 6
2.5 literature review 6
CHAPTERTHREE 8
RESEARCH METHODOLOGY 8
3.0 Introduction 8
3.1.1 Research Design 8
3.2 Model Formulation And Analysis 8
3.3 Deterministic Mathematical Model For Cholera Transmission Dynamics 8
CHAPTER FOUR 10
MODEL ANALYSIS 10
4.0 Data analysis 10
4.1 EquiIibrium state of the mod~I 10
4,1.2 Disease Free Equilibrium (DFE) 11
4.2 Endemic equilibrium state 11
4.3 The basic effective reproductive number (Re) 12
4.4 Stability of the disease free equilibrium 14
CHAPTER FIVE 20
DISCUSSIONS, SUMMARY AND RECOMMENDATIONS OF THE STUDY 20
5.0 Introduction 20
5.1 Discussion of the study 20
5.2 Summary of the findings 20
5.3 Recommendations for further research 20
REFERENCES 21
Consults, E. (2022). A MATHEMATICAL MODEL FOR CHOLERA TRANSMISSION DYNAMICS IN RUBAGA UGANDA. Afribary. Retrieved from https://track.afribary.com/works/a-mathematical-model-for-cholera-transmission-dynamics-in-rubaga-uganda
Consults, Education "A MATHEMATICAL MODEL FOR CHOLERA TRANSMISSION DYNAMICS IN RUBAGA UGANDA" Afribary. Afribary, 03 Sep. 2022, https://track.afribary.com/works/a-mathematical-model-for-cholera-transmission-dynamics-in-rubaga-uganda. Accessed 10 Nov. 2024.
Consults, Education . "A MATHEMATICAL MODEL FOR CHOLERA TRANSMISSION DYNAMICS IN RUBAGA UGANDA". Afribary, Afribary, 03 Sep. 2022. Web. 10 Nov. 2024. < https://track.afribary.com/works/a-mathematical-model-for-cholera-transmission-dynamics-in-rubaga-uganda >.
Consults, Education . "A MATHEMATICAL MODEL FOR CHOLERA TRANSMISSION DYNAMICS IN RUBAGA UGANDA" Afribary (2022). Accessed November 10, 2024. https://track.afribary.com/works/a-mathematical-model-for-cholera-transmission-dynamics-in-rubaga-uganda