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journal article Jan 01, 2009

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

Horst R. Thieme
SIAM Journal on Applied Mathematics Vol. 70 No. 1 pp. 188-211 · Society for Industrial & Applied Mathematics (SIAM)
View at Publisher Save 10.1137/080732870
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References
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On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations

O. Diekmann, J.A.P. Heesterbeek, J.A.J. Metz

Journal of Mathematical Biology 10.1007/bf00178324
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Magal P. Differential Integral Equations (2007) 10.57262/die/1356039513
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Thieme H. R. J. Integral Equations (1985)
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Thieme H. R. Differential Integral Equations (1990) 10.57262/die/1379101977
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Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission

P. van den Driessche, James Watmough

Mathematical Biosciences 10.1016/s0025-5564(02)00108-6
[24]
Threshold Dynamics for Compartmental Epidemic Models in Periodic Environments

Wendi Wang, Xiao-Qiang Zhao

Journal of Dynamics and Differential Equations 10.1007/s10884-008-9111-8
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Target reproduction numbers for reaction-diffusion population models

Xueying Wang, Xiao-Qiang Zhao · 2020

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Asymptotic Profiles of Basic Reproduction Number for Epidemic Spreading in Heterogeneous Environment

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Basic Reproduction Ratios for Periodic Abstract Functional Differential Equations (with Application to a Spatial Model for Lyme Disease)

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Persistence and global stability for a class of discrete time structured population models

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Metrics
506
Citations
24
References
Details
Published
Jan 01, 2009
Vol/Issue
70(1)
Pages
188-211
Authors
H
Horst R. Thieme
Cite This Article
Horst R. Thieme (2009). Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity. SIAM Journal on Applied Mathematics, 70(1), 188-211. https://doi.org/10.1137/080732870
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