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Original Articles

A net reproductive number for periodic matrix models

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Pages 166-188 | Received 23 Nov 2010, Accepted 26 Nov 2010, Published online: 18 Feb 2011

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Read on this site (5)

Horst R. Thieme. (2023) Continuity of the spectral radius, applied to structured semelparous two-sex population models. Journal of Difference Equations and Applications 0:0, pages 1-35.
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R. Ben Taher & H. Benkhaldoun. (2019) Solving the linear difference equation with periodic coefficients via Fibonacci sequences. Linear and Multilinear Algebra 67:12, pages 2549-2564.
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N. Lazaryan & H. Sedaghat. (2016) Extinction, periodicity and multistability in a Ricker model of stage-structured populations. Journal of Difference Equations and Applications 22:4, pages 519-544.
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B. Cantó, C. Coll & E. Sánchez. (2016) On the stability and spectral radius of a finite set of matrices. Linear and Multilinear Algebra 64:3, pages 353-361.
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Nancy Hernández-Cerón, Zhilan Feng & P. van den Driessche. (2013) Reproduction numbers for discrete-time epidemic models with arbitrary stage distributions. Journal of Difference Equations and Applications 19:10, pages 1671-1693.
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Articles from other publishers (15)

Spencer Catron, Sarah Roth, Francesca Zumpano, Jason Bintz, James A. Fordyce, Suzanne Lenhart, Debra L. Miller & Jeanette Wyneken. (2023) Modeling the impacts of temperature during nesting seasons on Loggerhead (Caretta caretta) Sea Turtle populations in South Florida. Ecological Modelling 481, pages 110363.
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Horst R. Thieme. 2023. Advances in Discrete Dynamical Systems, Difference Equations and Applications. Advances in Discrete Dynamical Systems, Difference Equations and Applications 495 539 .
D. Ghosh, P. K. Santra, G. S. Mahapatra, Amr Elsonbaty & A. A. Elsadany. (2022) A discrete-time epidemic model for the analysis of transmission of COVID19 based upon data of epidemiological parameters. The European Physical Journal Special Topics 231:18-20, pages 3461-3470.
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Azmy S. Ackleh & Amy Veprauskas. (2022) Modeling the invasion and establishment of a tick-borne pathogen. Ecological Modelling 467, pages 109915.
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H. Benkhaldoun, R. Ben Taher & M. Rachidi. (2021) Periodic matrix difference equations and companion matrices in blocks: some applications. Arabian Journal of Mathematics 10:3, pages 555-574.
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Carmen Coll & Elena Sánchez. (2019) Quarantine in an epidemic model with seasonality. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 114:1.
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Hal CaswellHal Caswell. 2019. Sensitivity Analysis: Matrix Methods in Demography and Ecology. Sensitivity Analysis: Matrix Methods in Demography and Ecology 67 113 .
Silke F. van Daalen & Hal Caswell. (2017) Lifetime reproductive output: individual stochasticity, variance, and sensitivity analysis. Theoretical Ecology 10:3, pages 355-374.
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J.M. Cushing & Odo Diekmann. (2016) The many guises of R0 (a didactic note). Journal of Theoretical Biology 404, pages 295-302.
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Wen Jin, Hal L. Smith & Horst R. Thieme. (2015) Persistence versus extinction for a class of discrete-time structured population models. Journal of Mathematical Biology 72:4, pages 821-850.
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B. Cantó, C. Coll & E. Sánchez. (2014) A study on vaccination models for a seasonal epidemic process. Applied Mathematics and Computation 243, pages 152-160.
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Nicolas Bacaër & El Hadi Ait Dads. (2012) On the probability of extinction in a periodic environment. Journal of Mathematical Biology 68:3, pages 533-548.
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Azmy S. Ackleh & József Z. Farkas. (2013) On the net reproduction rate of continuous structured populations with distributed states at birth. Computers & Mathematics with Applications 66:9, pages 1685-1694.
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J. A. J. Metz. (2012) On the concept of individual in ecology and evolution. Journal of Mathematical Biology 66:4-5, pages 635-647.
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Nicolas Bacaër & El Hadi Ait Dads. (2011) On the biological interpretation of a definition for the parameter R 0 in periodic population models. Journal of Mathematical Biology 65:4, pages 601-621.
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