On some anisotropic reaction-diffusion systems with \(L^{1}\)-data modeling the propagation of an epidemic disease (Q1399943)
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scientific article; zbMATH DE number 1957308
| Language | Label | Description | Also known as |
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| English | On some anisotropic reaction-diffusion systems with \(L^{1}\)-data modeling the propagation of an epidemic disease |
scientific article; zbMATH DE number 1957308 |
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On some anisotropic reaction-diffusion systems with \(L^{1}\)-data modeling the propagation of an epidemic disease (English)
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30 July 2003
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The authors present a reaction-diffusion system which is a model of a population dynamics describing the spatial spread of an epidemic disease -- the Feline immunodeficiency virus through a population of domestic cats in heterogeneous domains. The model is represented by nonlinear parabolic differential equations. The existence of weak solutions is proved for the system with either mixed boundary conditions or no-flux boundary conditions. The anisotropic system is a generalization of the isotropic system modeling the Feline leukemia virus studied by the same authors in [Adv. Differ. Equ. 7, 743-768 (2002; Zbl 1036.35086)].
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mixed boundary conditions
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no-flux boundary conditions
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