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Table of contents
1 General introduction
1.1 Prevention interventions aiming to the elimination of infectious diseases
1.1.1 Epidemic elimination
1.2 The prevention versus treatment dilemma
1.3 Mathematical and behavioral epidemiology
1.3.1 Modeling infectious disease transmission using deterministic compartmental models
1.3.2 The basic and the effective reproduction numbers
1.3.3 Modeling the decision-making about prevention adoption using a gametheoretical approach
1.4 General objectives of this research
1.5 General description of our methods
1.5.1 Conceptual framework
1.5.2 The mathematical model
2 Voluntary vaccination against treatable childhood infectious diseases
2.1 Introduction
2.1.1 Vaccines against childhood infectious diseases
2.1.2 Vaccine hesitancy
2.1.3 The measles epidemic: its place on the path towards elimination
2.1.4 Game-theoretic models for childhood vaccination
2.2 Publication
2.2.1 Description of the article
2.2.2 Results statements
2.2.3 Article
2.3 Additional figures
2.4 Further discussion
2.4.1 A note on mandatory vaccination
3 Voluntary use of pre-exposure prophylaxis to prevent HIV infection among ,men who have sex with men
3.1 Introduction
3.1.1 The HIV epidemic
3.1.2 PrEP uptake among MSM
3.1.3 The HIV epidemiology and PrEP rollout among the MSM population in France
3.1.4 Worldwide efforts to end AIDS and the path towards ending the HIV epidemic
3.1.5 Mathematical modeling of the HIV epidemic and PrEP uptake among MSM
3.2 Publication
3.2.1 Description of the article
3.2.2 Results statements
3.2.3 Article
3.2.4 Article’s supplementary material
3.3 Additional material
3.3.1 Computations and proofs of our analytical results
3.3.2 Additional results
3.4 Further discussion
3.4.1 Implementing HIV prevention programs aiming at epidemic elimination
3.4.2 Modeling limitations and perspectives
4 General discussion
4.1 Summary
4.1.1 Reaching epidemic elimination through voluntary adoption of prevention
4.1.2 Establishing public health policies aiming at the end of communicable diseases
4.2 Limitations and perspectives
4.2.1 The complexity of modeling human behavior
4.2.2 Determining and interpreting the relative cost of prevention versus treatment
4.2.3 Information dissemination and interpretation
4.2.4 Considering other behavioral models
4.2.5 Studying epidemics in other socio-economical settings
4.2.6 Epidemic dynamics at low prevalence
4.2.7 The impact of the COVID-19 pandemic on prevention interventions against measles and HIV
4.3 Conclusion



