A predator-prey system with \(L^{1}\) data (Q1869011)
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scientific article; zbMATH DE number 1895768
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A predator-prey system with \(L^{1}\) data |
scientific article; zbMATH DE number 1895768 |
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A predator-prey system with \(L^{1}\) data (English)
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9 April 2003
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The authors consider a system of semilinear differential equations of parabolic type modeling a predator-prey system in heterogeneous habitats. Preys are assumed to follow a logistic growth in the absence of predation, and predators are assumed to feed on preys with a Holding type II functional response to prey density. The interactions between predators are modelized by the statement of a food pyramid condition. It is proved existence of at least one weak solution supposing no-flux boundary conditions and \(L^1\) data.
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semilinear parabolic equations
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heterogeneous habitats
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weak solutions
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logistic growth
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food pyramid condition
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no-flux boundary conditions
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