(1) Department of Mathematics, University of Florida, Gainesville, FL, USA 3.1 Modeling Changing Populations Models that do not explicitly include births and deaths occurring in the population are called…
Maia Martcheva1 (1) Department of Mathematics, University of Florida, Gainesville, FL, USA 5.1 Building Complex Epidemiological Models In the previous chapters, we introduced and studied the simplest epidemic models: the…
(1) Department of Mathematics, University of Florida, Gainesville, FL, USA 15.1 Introduction Classical epidemic models assume that the entire population lives in one area and is well mixed. That…
(1) Department of Mathematics, University of Florida, Gainesville, FL, USA 16.1 Single-Species Discrete Population Models The continuous population models that we have considered in previous chapters model population and…
(1) Department of Mathematics, University of Florida, Gainesville, FL, USA 9.1 Introduction Measures for prevention and control of infectious diseases include vaccination, treatment, quarantine, isolation, and prophylaxis. Prophylaxis is…
(1) Department of Mathematics, University of Florida, Gainesville, FL, USA 14.1 Introduction to Immuno-Epidemiological Modeling To better understand the spread of infectious diseases in populations, we need to realize…
(1) Department of Mathematics, University of Florida, Gainesville, FL, USA 13.1 Variability of Infectivity with Time-Since-Infection Many diseases progress quickly. Once infected, an individual goes through a short incubation…
(1) Department of Mathematics, University of Florida, Gainesville, FL, USA 4.1 Vector-Borne Diseases: An Introduction A vector-borne disease is one in which the pathogenic microorganism is transmitted from an…
(1) Department of Mathematics, University of Florida, Gainesville, FL, USA 10.1 Infectious Diseases in Animal Populations Infectious disease pathogens affect numerous animal populations. An animal population, by definition, is…
(1) Department of Mathematics, University of Florida, Gainesville, FL, USA 2.1 Kermack–McKendrick SIR Epidemic Model Introduction to epidemic modeling is usually made through one of the first epidemic models…
