Basic Reproduction Ratios for Periodic Compartmental Models with Time Delay

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

On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations.

Data Archiving and Networked Services (DANS) · 1990 · 5.2K citations

Veterinary Medicine, Biology, Infectious Diseases +16

Asymptotic speeds of spread and traveling waves for monotone semiflows with applications

Xing Liang, Xiaoqiang Zhao · Communications on Pure and Applied Mathematics · 2006 · 733 citations

Natural Sciences, Mathematics, Differential Equations +10

Threshold Dynamics for Compartmental Epidemic Models in Periodic Environments

Wendi Wang, Xiao‐Qiang Zhao · Journal of Dynamics and Differential Equations · 2008 · 637 citations · Full text

Veterinary Medicine, Infectious Diseases, Compartmental Modeling +15

Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity

Horst R. Thieme · SIAM Journal on Applied Mathematics · 2009 · 580 citations

Life Sciences, Mathematics, Dynamical Systems +13