Wavefronts for a global reaction-diffusion population model with infinite distributed delay (Q931021)
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scientific article; zbMATH DE number 5292323
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wavefronts for a global reaction-diffusion population model with infinite distributed delay |
scientific article; zbMATH DE number 5292323 |
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Wavefronts for a global reaction-diffusion population model with infinite distributed delay (English)
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24 June 2008
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The existence of monotone wavefronts of a reaction-diffusion population model with infinite distributed delay is studied. A particular example of such an equation is the model of Nicholson's blowflies and hematopoiesis derived by Gurney, Mackey and Glass. The main focus of the article lies on a population model which allows individuals of the population to move around. By establishing comparison arguments, the authors then prove the existence of wavefronts by means of fixed point methods.
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global reaction diffusion equation
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infinite delay
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monotone wavefront
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fixed point theorem
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upper and lower solutions
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0.9384569
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0.91051245
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0.9096888
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