New directions in the mathematics of infectious diseases |
Fred Brauer |
Kenneth Cooke |
Maximal prevalence and the basic reproduction number in simple epidemics |
The transition through stages with arbitrary length distributions, and applications in epidemics |
Measles outbreaks are not chaotic |
Epidemics among a population of households |
Infection transmission dynamics and vaccination program effectiveness as a function of vaccine effects in individuals |
The influence of different forms of cross-protective immunity on the population dynamics of antigenetically diverse pathogens |
Dynamics of multiple strains of infectious agents coupled by cross-immunity |
Virulence evolution in macro-parasites |
Mathematical models for schistosomiasis with delays and multiple definitive hosts |
Infectious disease models with chronological age structure and epidemiological age structure |
Effects of genetic heterogeneity on HIV transmission in homosexual populations |
Age-structured core group model and its impact on STD dynamics |
Global dynamics of tuberculosis models with density dependent demography |
Global stability in some SEIR epidemic models |
The global stability analysis for an SIS model with age and infection age structures |
Endemic threshold and stability in an evolutionary epidemic model |
Epilogue |
New directions in the mathematics of infectious disease |
Kenneth L. Cooke |
Basic ideas of mathematical epidemiology |
Extensions of the basic models |
New vaccination strategies for pertussis |
Time delay in epidemic models |
Nonlocal response in a simple epidemiological model |
Discrete-time S-I-S models with simple and complex population dynamics |
Intraspecific competition, dispersal, and disease dynamics in discrete-time patchy environments |
The impact of long-range dispersal on the rate of spread in population and epidemic models |
Endemicity, persistence, and quasi-stationarity |
On the computation of Ro and its role in global stability |
Nonlinear mating models for populations with discrete generations |
Center manifolds and normal forms in epidemic models |
Remarks on modeling host-viral dynamics and treatment |
A multiple compartment model for the evolution of HIV-1 after highly active antiretroviral therapy |
Modeling cancer as an infectious disease |
Frequency dependent risk of infection and the spread of infectious diseases |
Long-term dynamics and emergence of tuberculosis |
New directions in the mathematics of infectious diseases |
Fred Brauer |
Kenneth Cooke |
Maximal prevalence and the basic reproduction number in simple epidemics |
The transition through stages with arbitrary length distributions, and applications in epidemics |
Measles outbreaks are not chaotic |