F Brauer - Infectious Disease Modelling, 2017 - Elsevier
Mathematical epidemiology: Past, present, and future - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue …
Mathematical models are ubiquitous in the study of the transmission dynamics of infectious diseases, In particular, the classic'susceptible-infectious-recovered'(SIR<) paradigm …
Mathematical modeling has been increasingly recognized in the public health community as an important research tool for infectious diseases control. Mathematical models are widely …
Historically, infectious diseases caused considerable damage to human societies, and they continue to do so today. To help reduce their impact, mathematical models of disease …
Up to now in our study of continuous population models we have been assuming that x (t), the growth rate of population size at time t, depends only on x (t), the population size at the …
The reemergence of tuberculosis (TB) from the 1980s to the early 1990s instigated extensive researches on the mechanisms behind the transmission dynamics of TB epidemics. This …
" The mathematical theory of persistence answers questions such as which species, in a mathematical model of interacting species, will survive over the long term. It applies to …
The basic reproduction number, R 0 is a measure of the potential for disease spread in a population. Mathematically, R 0 is a threshold for stability of a disease-free equilibrium and …
PS Dodds, DJ Watts - Journal of theoretical biology, 2005 - Elsevier
We present a model of contagion that unifies and generalizes existing models of the spread of social influences and microorganismal infections. Our model incorporates individual …