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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 6
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Articles

Some results in Floquet theory, with application to periodic epidemic models

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Pages 1128-1152 | Received 24 Nov 2013, Accepted 23 Apr 2014, Published online: 02 Jun 2014

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Traoré Bakary, Sangaré Boureima & Traoré Sado. (2018) A mathematical model of malaria transmission in a periodic environment. Journal of Biological Dynamics 12:1, pages 400-432.
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Alexander Domoshnitsky, Elnatan Berenson, Shai Levi & Elena Litsyn. (2024) Floquet theory and stability for a class of first order differential equations with delays. Georgian Mathematical Journal 0:0.
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Manuel Gadella & Luis Pedro Lara. (2023) A variational modification of the Harmonic Balance method to obtain approximate Floquet exponents. Mathematical Methods in the Applied Sciences 46:8, pages 8956-8974.
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Saumen Barua, Mahmoud A. Ibrahim & Attila Dénes. (2023) A compartmental model for the spread of Nipah virus in a periodic environment. AIMS Mathematics 8:12, pages 29604-29627.
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KHALED BOUDJEMA DJEFFAL, SALIH DJILALI, NADIA GUL, ZAHID AHMAD & TAREQ SAEED. (2023) MATHEMATICAL ANALYSIS OF HUANGLONGBING TRANSMISSION MODEL IN A PERIODIC ENVIRONMENT. Fractals 31:10.
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M. G. Yumagulov, L. S. Ibragimova & A. S. Belova. (2021) Methods for Studying the Stability of Linear Periodic Systems Depending on a Small Parameter. Journal of Mathematical Sciences 258:1, pages 115-127.
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Mahmoud A. Ibrahim & Attila Dénes. (2021) A mathematical model for Lassa fever transmission dynamics in a seasonal environment with a view to the 2017–20 epidemic in Nigeria. Nonlinear Analysis: Real World Applications 60, pages 103310.
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Mahmoud A. Ibrahim & Attila Dénes. (2021) Threshold and stability results in a periodic model for malaria transmission with partial immunity in humans. Applied Mathematics and Computation 392, pages 125711.
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Fabio L. Traversa, Massimiliano Di Ventra, Federica Cappelluti & Fabrizio Bonani. (2020) Application of Floquet theory to dynamical systems with memory. Chaos: An Interdisciplinary Journal of Nonlinear Science 30:12.
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Robert Vrabel. (2020) A Note on Uniform Exponential Stability of Linear Periodic Time-Varying Systems. IEEE Transactions on Automatic Control 65:4, pages 1647-1651.
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Eugenio Valdano & Alex Arenas. (2019) Exact Rank Reduction of Network Models. Physical Review X 9:3.
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Karunia Putra Wijaya, Dipo Aldila & Luca Elias Schäfer. (2019) Learning the seasonality of disease incidences from empirical data. Ecological Complexity 38, pages 83-97.
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BAKARY TRAORÉ, OUSMANE KOUTOU & BOUREIMA SANGARÉ. (2019) GLOBAL DYNAMICS OF A SEASONAL MATHEMATICAL MODEL OF SCHISTOSOMIASIS TRANSMISSION WITH GENERAL INCIDENCE FUNCTION. Journal of Biological Systems 27:01, pages 19-49.
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Claudio Bozzuto & Stefano Canessa. (2019) Impact of seasonal cycles on host-pathogen dynamics and disease mitigation for Batrachochytrium salamandrivorans. Global Ecology and Conservation 17, pages e00551.
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Anderson L. A. de Araujo, Abílio Lemos, Alexandre Miranda Alves & Kennedy Martins Pedroso. (2018) Some results on Riccati equations, Floquet theory and applications. Journal of Fixed Point Theory and Applications 20:1.
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Eugenio Valdano, Michele Re Fiorentin, Chiara Poletto & Vittoria Colizza. (2018) Epidemic Threshold in Continuous-Time Evolving Networks. Physical Review Letters 120:6.
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Christopher Mitchell & Christopher Kribs. (2017) A Comparison of Methods for Calculating the Basic Reproductive Number for Periodic Epidemic Systems. Bulletin of Mathematical Biology 79:8, pages 1846-1869.
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Joaquim P. Mateus & César M. Silva. (2017) Existence of periodic solutions of a periodic SEIRS model with general incidence. Nonlinear Analysis: Real World Applications 34, pages 379-402.
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Hossein Karimpour, Mostafa Pirmoradian & Mehdi Keshmiri. (2016) Instance of hidden instability traps in intermittent transition of moving masses along a flexible beam. Acta Mechanica 227:4, pages 1213-1224.
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