Asymptotic stability for an integrodifferential reaction-diffusion system (Q1077667)
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scientific article; zbMATH DE number 3957938
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic stability for an integrodifferential reaction-diffusion system |
scientific article; zbMATH DE number 3957938 |
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Asymptotic stability for an integrodifferential reaction-diffusion system (English)
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1984
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A coupled system consisting of a linear parabolic integrodifferential equation and a nonlinear ordinary differential equation is described. The well-posedness of the initial value problem and the existence and stability of nontrivial equilibrium solutions are studied (using monotone iteration techniques, amongst other things). The system is of interest as a model of the dynamics of an epidemic in which one of two species can diffuse.
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reaction-diffusion
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parabolic
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nontrivial equilibrium solutions
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monotone iteration
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dynamics of an epidemic
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