Instability induced by cross-diffusion in a predator-prey model with sex structure (Q442826)
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scientific article; zbMATH DE number 6063336
| Language | Label | Description | Also known as |
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| English | Instability induced by cross-diffusion in a predator-prey model with sex structure |
scientific article; zbMATH DE number 6063336 |
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Instability induced by cross-diffusion in a predator-prey model with sex structure (English)
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6 August 2012
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Summary: We consider a cross-diffusion predator-prey model with sex structure. We prove that cross-diffusion can destabilize a uniform positive equilibrium which is stable for the ODE system and for the weakly coupled reaction-diffusion system. As a result, we find that stationary patterns arise solely from the effect of cross-diffusion.
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