The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence

Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission

P. van den Driessche, James Watmough · Mathematical Biosciences · 2002 · 9.9K citations

Veterinary Medicine, Infectious Diseases, Compartmental Modeling +16

Infectious Diseases of Humans: Dynamics and Control

Annals of Internal Medicine · 1992 · 8K citations

Veterinary Medicine, Infectious Disease Control, Infectious Diseases +12

The Mathematics of Infectious Diseases

Herbert W. Hethcote · SIAM Review · 2000 · 6.9K citations

Veterinary Medicine, Infectious Diseases, Epidemiology +16

An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations

Desmond J. Higham · SIAM Review · 2001 · 3.1K citations

Natural Sciences, Computer Science, Dynamical Systems +16

Stochastic Differential Equations: Theory and Applications.

P. Whittle, Ludwig Arnold · Journal of the Royal Statistical Society Series A (General) · 1976 · 2.4K citations

Engineering, Mathematics, Differential Equations +11