On the biological interpretation of a definition for the parameter R 0 in periodic population models

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

MATRIX POPULATION MODELS: CONSTRUCTION ANALYSIS AND INTERPRETATION

Floyd W. Weckerly · Natural Resource Modeling · 2001 · 3.3K citations

Life Sciences, Biology, Population Biology +12

PERIODIC-PARABOLIC BOUNDARY VALUE PROBLEMS AND POSITIVITY

F. M. Arscott · Bulletin of the London Mathematical Society · 1992 · 728 citations

Natural Sciences, Mathematics, Differential Equations +8

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