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Original Articles

SIS Epidemic Models with Multiple Pathogen Strains

Pages 53-75 | Received 13 Jan 2003, Accepted 25 Jun 2003, Published online: 12 May 2010

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Xiaojie Mu & Qimin Zhang. (2022) Near-optimal control for a stochastic multi-strain epidemic model with age structure and Markovian switching. International Journal of Control 95:5, pages 1191-1205.
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Azmy S. Ackleh, Robert J. Sacker & Paul Salceanu. (2014) On a discrete selection–mutation model. Journal of Difference Equations and Applications 20:10, pages 1383-1403.
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Rafael Luís, Saber Elaydi & Henrique Oliveira. (2011) Stability of a Ricker-type competition model and the competitive exclusion principle. Journal of Biological Dynamics 5:6, pages 636-660.
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Linda J.S. Allen & P. van den Driessche. (2008) The basic reproduction number in some discrete-time epidemic models. Journal of Difference Equations and Applications 14:10-11, pages 1127-1147.
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Articles from other publishers (12)

David Helekal, Matt Keeling, Yonatan H. Grad & Xavier Didelot. (2023) Estimating the fitness cost and benefit of antimicrobial resistance from pathogen genomic data. Journal of The Royal Society Interface 20:203.
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Francis Mugabi, Kevin J. Duffy, Joseph Y.T. Mugisha & Obiora C. Collins. (2021) Determining the effects of wind-aided midge movement on the outbreak and coexistence of multiple bluetongue virus serotypes in patchy environments. Mathematical Biosciences 342, pages 108718.
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Xue-Feng San, Zhi-Cheng Wang & Zhaosheng Feng. (2020) Spreading speed and traveling waves for an epidemic model in a periodic patchy environment. Communications in Nonlinear Science and Numerical Simulation 90, pages 105387.
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Francesco Pinotti, Fakhteh Ghanbarnejad, Philipp Hövel & Chiara Poletto. (2020) Interplay between competitive and cooperative interactions in a three-player pathogen system. Royal Society Open Science 7:1.
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Omomayowa Olawoyin & Christopher Kribs. (2019) Invasion reproductive numbers for discrete-time models. Infectious Disease Modelling 4, pages 44-72.
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Eka Lismawati, Respatiwulan & Purnami Widyaningsih. (2017) Discrete time Markov chains (DTMC) susceptible infected susceptible (SIS) epidemic model with two pathogens in two patches. Journal of Physics: Conference Series 855, pages 012024.
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Can Chen & Yanmei Kang. (2017) Dynamics of a stochastic multi-strain SIS epidemic model driven by Lévy noise. Communications in Nonlinear Science and Numerical Simulation 42, pages 379-395.
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Roberto Cavoretto, Simona Collino, Bianca Giardino & Ezio Venturino. (2014) A two-strain ecoepidemic competition model. Theoretical Ecology 8:1, pages 37-52.
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Avner Friedman & Abdul-Aziz Yakubu. (2012) Host Demographic Allee Effect, Fatal Disease, and Migration: Persistence or Extinction. SIAM Journal on Applied Mathematics 72:5, pages 1644-1666.
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John Doty. (2010) Stochastical Mathematics for Engineering Applications. Stochastical Mathematics for Engineering Applications.
L. J. S. Allen, Y. Lou & A. L. Nevai. (2008) Spatial patterns in a discrete-time SIS patch model. Journal of Mathematical Biology 58:3, pages 339-375.
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L. J. S. Allen, B. M. Bolker, Y. Lou & A. L. Nevai. (2007) Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model. SIAM Journal on Applied Mathematics 67:5, pages 1283-1309.
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