On the final size of epidemics with seasonality.
作者： Nicolas Bacaër , M. Gabriela M. Gomes
DOI: 10.1007/S11538-009-9433-7
关键词: Population 、 Biology 、 Constant (mathematics) 、 Basic reproduction number 、 Statistics 、 Virology 、 Pandemic influenza 、 System of differential equations 、 Chikungunya 、 Seasonality
摘要: … To keep things simple and because of the widespread interest in pandemic flu, we will use the periodic SIR system although the discussion will be extended to a vector-borne disease (…
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researchgate.net 参考文章(18)
Nicolas Bacaër, Souad Guernaoui, The epidemic threshold of vector-borne diseases with seasonality Journal of Mathematical Biology. ,vol. 53, pp. 421- 436 ,(2006) , 10.1007/S00285-006-0015-0
Robert J. Plemmons, Abraham Berman, Nonnegative Matrices in the Mathematical Sciences ,(1979)
Horst R. Thieme, Mathematics in Population Biology ,(2003)
Robert M. May, Roy M. Anderson, Infectious Diseases of Humans: Dynamics and Control ,(1991)
Nicolas Bacaër, Periodic matrix population models: growth rate, basic reproduction number, and entropy. Bulletin of Mathematical Biology. ,vol. 71, pp. 1781- 1792 ,(2009) , 10.1007/S11538-009-9426-6
Ray Redheffer, Jack K. Hale, Ordinary differential equations American Mathematical Monthly. ,vol. 78, pp. 1154- ,(1971) , 10.2307/2316346
Nicolas Bacaër, Rachid Ouifki, Growth rate and basic reproduction number for population models with a simple periodic factor Bellman Prize in Mathematical Biosciences. ,vol. 210, pp. 647- 658 ,(2007) , 10.1016/J.MBS.2007.07.005
Nicolas Bacaër, Xamxinur Abdurahman, Resonance of the epidemic threshold in a periodic environment Journal of Mathematical Biology. ,vol. 57, pp. 649- 673 ,(2008) , 10.1007/S00285-008-0183-1
Nicolas Bacaër, Approximation of the basic reproduction number R0 for vector-borne diseases with a periodic vector population. Bulletin of Mathematical Biology. ,vol. 69, pp. 1067- 1091 ,(2007) , 10.1007/S11538-006-9166-9
Junling Ma, David J. D. Earn, Generality of the Final Size Formula for an Epidemic of a Newly Invading Infectious Disease Bulletin of Mathematical Biology. ,vol. 68, pp. 679- 702 ,(2006) , 10.1007/S11538-005-9047-7