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• W2324211928 abstract "The existence and uniqueness of positive solutions of a nonautonomous system of SIR equations with diffusion are established as well as the continuousdependence of such solutions on initial data. The proofs are facilitated by the fact that the nonlinear coefficients satisfy a global Lipschitz property due to their special structure. An explicit disease-free nonautonomous equilibrium solution is determined and its stability investigated. Uniform weak disease persistence is also shown.The main aim of the paper is to establish the existence of a nonautonomous pullback attractor is established for the nonautonomous process generated by the equations on the positive cone of an appropriatefunction space. For this an energy method is used to determine a pullback absorbing set and then the flattening property is verified, thus giving the required asymptotic compactness of the process." @default.
• W2324211928 created "2016-06-24" @default.
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• W2324211928 date "2014-01-01" @default.
• W2324211928 modified "2023-09-24" @default.
• W2324211928 title "Asymptotic behaviour of the nonautonomous SIR equations with diffusion" @default.
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• W2324211928 doi "https://doi.org/10.3934/cpaa.2014.13.157" @default.
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