Some results on Riccati equations,Floquet theory and applications |
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| Authors: | Anderson L. A. de Araujo Abílio Lemos Alexandre Miranda Alves Kennedy Martins Pedroso |
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| Affiliation: | 1.Departamento de Matemática,Universidade Federal de Vi?osa, CCE,Vi?osa,Brazil;2.Departamento de Matemática,Universidade Federal de Juiz de Fora,Juiz de Fora,Brazil |
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| Abstract: | In this paper, we present two new results to the classical Floquet theory, which provides the Floquet multipliers for two classes of the planar periodic system. One of these results provides the Floquet multipliers independently of the solution of system. To demonstrate the application of these analytical results, we consider a cholera epidemic model with phage dynamics and seasonality incorporated. |
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