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Applied Mathematics and Mechanics >

2009 , Vol. 30 >Issue 6: 727 - 740

DOI: https://doi.org/10.1007/s10483-009-0607-x

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Global existence of weak solutions to a prey-predator model with strong cross-diffusion

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  • Department of Mathematics, Southeast University, Nanjing 210018, P. R. China

Received date: 2008-04-22

  Revised date: 2009-04-07

  Online published: 2009-06-01

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Abstract

Using finite differences and entropy inequalities, the global existence of weak solutions to a multidimensional parabolic strongly coupled prey-predator model is obtained. The nonnegativity of the solutions is also shown.

Key words： prey-predator model, strong cross-diffusion, entropy functional, existence of weak solutions, Orlicz space

Cite this article

Hui-Ling LI . Global existence of weak solutions to a prey-predator model with strong cross-diffusion[J]. Applied Mathematics and Mechanics, 2009 , 30(6) : 727 -740 . DOI: 10.1007/s10483-009-0607-x

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