Mathematical Models for Neglected Tropical Diseases: Essential Tools for Control and Elimination, Part A

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 Advances in Parasitology Mathematical Models for Neglected Tropical Diseases: Essential Tools for Control and Elimination, P ... 
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 Advances in Parasitology Mathematical Models for Neglected Tropical Diseases: Essential Tools for Control and Elimination, P ... 
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 Contents
 Contributors
 Preface
 The Allee Effect and Elimination of Neglected Tropical Diseases: A Mathematical Modelling Study
 1. Introduction
 1.1 Allee effects and disease elimination
 2. Methods
 2.1 Multiple positive and negative density dependencies (DD) in an LF transmission model. 2.2 Age-structured expression of the effective reproduction number2.3 Dynamical consequences of the number of DDs on the re-emergence of infection following drug treatment
 2.4 A simplified model of Reff for investigating interactions between DDs
 3. Results
 3.1 Effects of DDs on the LF effective reproduction number and equilibria
 3.2 The impact of DD on the rate of return of infection following a simulated treatment round
 3.3 DDs and the Allee effect: the simplified Reff model
 4. Discussion
 Appendix. Calculating the largest eigenvalue of the system of ODEs at the disease-free equilibriumApproximating positive and negative DDs with exponential functions
 Model parameter values and density-dependent functions
 Model fitting and uncertainty estimation
 Acknowledgments
 References
 Mathematical Modelling of Leprosy and Its Control
 1. Introduction
 1.1 Disease
 1.2 Transmission, Treatment and Control
 2. The Current Epidemiological Situation and Challenges
 3. Heterogeneity in Leprosy
 4. Leprosy Models
 4.1 Lechat's Leprosy Model
 4.2 The SIMLEP Model
 4.2.1 Applications. 4.3 The SIMCOLEP Model4.3.1 Applications
 5. Future Challenges
 6. Conclusion
 References
 Mathematical Models of Human African Trypanosomiasis Epidemiology
 1. Introduction
 1.1 Human African trypanosomiasis
 1.1.1 Gambian HAT
 1.1.2 Rhodesian HAT
 1.2 Animal African trypanosomiasis
 1.3 Tsetse fly bionomics
 1.3.1 Births and deaths
 1.3.2 Abundance and distribution
 1.3.3 Feeding interval
 1.3.4 Host selection
 1.4 Trypanosome biology
 1.4.1 Dynamics of trypanosomes in humans and animal hosts
 1.4.2 Transmission of trypanosomes between hosts and vectors. 1.5 Control of African trypanosomiasis1.5.1 Gambian HAT
 1.5.2 Rhodesian HAT
 1.5.3 Animal African trypanosomiasis
 1.5.4 Drug and insecticide resistance
 1.6 What has modelling ever done for HAT?
 2. Notation
 3. Models of African Trypanosomiasis
 3.1 History of trypanosomiasis modelling
 3.2 Parameter values for trypanosomiasis models
 3.2.1 Tsetse susceptibility to trypanosomes
 3.2.2 Duration of the infectious period in hosts
 3.3 Modelling multiple host species
 3.3.1 Correlated bites on mammalian host species
 3.4 Modelling vector competence.