Multistrain Disease Dynamics
(1) Department of Mathematics, University of Florida, Gainesville, FL, USA 8.1 Competitive Exclusion Principle The causative agents of diseases, such as viruses and bacteria, may be represented by multiple…
Analysis of Complex ODE Epidemic Models: Global Stability
(1) Department of Mathematics, University of Florida, Gainesville, FL, USA 7.1 Introduction In Chap. 2, we introduced the basic SIR and SIS models and developed tools and techniques for their…
Age-Structured Epidemic Models
(1) Department of Mathematics, University of Florida, Gainesville, FL, USA 12.1 Introduction Chronological age is perhaps one of the most important factors distinguishing individuals in a population that needs…
The SIR Model with Demography: General Properties of Planar Systems
(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…
Techniques for Computing ℛ 0 $$\mathcal{R}_{0}$$
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…
Spatial Heterogeneity in Epidemiological Models
(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…
Discrete Epidemic Models
(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…
Control Strategies
(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…
Immuno-Epidemiological Modeling
(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…
Class-Age Structured Epidemic Models
(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…
