A deterministic time-delayed SVIRS epidemic model with incidences and saturated treatment

A contribution to the mathematical theory of epidemics

W. O. Kermack, A. G. McKendrick · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · 1927 · 12K citations · Full text

Veterinary Medicine, Infectious Diseases, Epidemiology +16

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

Dynamical Models of Tuberculosis and Their Applications

Carlos Castillo‐Chávez, Baojun Song · Mathematical Biosciences & Engineering · 2004 · 2K citations · Full text

Public Health, Infectious Disease Control, Infectious Diseases +17

Regulation and Stability of Host-Parasite Population Interactions: I. Regulatory Processes

Roy M. Anderson, Robert M. May · Journal of Animal Ecology · 1978 · 1.8K citations

Life Sciences, Biology, Ecology +14

A generalization of the Kermack-McKendrick deterministic epidemic model

Vincenzo Capasso, Gabriella Serio · Mathematical Biosciences · 1978 · 1.3K citations

Veterinary Medicine, Infectious Disease Control, Infectious Diseases +12