Global Solutions of a Diffusive Predator-Prey Model with Holling IV Functional Response

Yu Juan Jiao

doi:10.4028/www.scientific.net/AMM.336-338.664

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 336-338Global Solutions of a Diffusive Predator-Prey...

Global Solutions of a Diffusive Predator-Prey Model with Holling IV Functional Response

Abstract:

Using the energy estimates and Gagliardo-Nirenberg type inequalities, the uniform boundedness and global existence of solutions for a predator-prey model with Holling IV functional response with self- and cross-diffusion are proved.

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Periodical:

Applied Mechanics and Materials (Volumes 336-338)

Pages:

664-667

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.336-338.664

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Online since:

July 2013

Authors:

Yu Juan Jiao

Keywords:

Cross Diffusion, Global Solution, Redator-Prey Model, Uniform Boundedness

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