Basic Reproduction Ratios for Periodic Abstract Functional Differential Equations (with Application to a Spatial Model for Lyme Disease)-Reference-Cited by-同舟云学术

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

Published:2017-06-29 Issue:3 Volume:31 Page:1247-1278
ISSN:1040-7294
Container-title:Journal of Dynamics and Differential Equations
language:en
Short-container-title:J Dyn Diff Equat

Author:

Liang Xing,Zhang Lei,Zhao Xiao-Qiang

Funder

Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10884-017-9601-7.pdf

Reference46 articles.

1. Amann, H.: Fixed point equations and nonlinear eigenvalue problems in ordered banach spaces. SIAM Rev. 18, 620–709 (1976)

2. Bacaër, N., Dads, E.H.A.: Genealogy with seasonality, the basic reproduction number, and the influenza pandemic. J. Math. Biol. 62, 741–762 (2011)

3. Bacaër, N., Dads, E.H.A.: On the biological interpretation of a definition for the parameter $$R_0$$ R 0 in periodic population models. J. Math. Biol. 65, 601–621 (2012)

4. Bacaër, N., Guernaoui, S.: The epidemic threshold of vector-borne diseases with seasonality. J. Math. Biol. 53, 421–436 (2006)

5. Burlando, L.: Monotonicity of spectral radius for positive operators on ordered banach spaces. Arch. Math. (Basel) 56, 49–57 (1991)

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