On a new perspective of the basic reproduction number in heterogeneous environments

Genealogy with seasonality, the basic reproduction number, and the influenza pandemic

(2010) Nicolas Bacaër et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Periodic Matrix Population Models: Growth Rate, Basic Reproduction Number, and Entropy

(2009) Nicolas Bacaër   BULLETIN OF MATHEMATICAL BIOLOGY

The construction of next-generation matrices for compartmental epidemic models

(2009) O. Diekmann et al.   Journal of the Royal Society Interface

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

(2009) Horst R. Thieme   SIAM JOURNAL ON APPLIED MATHEMATICS

Threshold Dynamics for Compartmental Epidemic Models in Periodic Environments

(2008) Wendi Wang et al.   Journal of Dynamics and Differential Equations

Resonance of the epidemic threshold in a periodic environment

(2008) Nicolas Bacaër et al.   JOURNAL OF MATHEMATICAL BIOLOGY

The state-reproduction number for a multistate class age structured epidemic system and its application to the asymptomatic transmission model

(2008) Hisashi Inaba et al.   MATHEMATICAL BIOSCIENCES

The Basic Reproduction Number of an Infectious Disease in a Stable Population: The Impact of Population Growth Rate on the Eradication Threshold

(2008) H. Inaba et al.   Mathematical Modelling of Natural Phenomena