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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (6): 727-740.doi: https://doi.org/10.1007/s10483-009-0607-x

• Articles • 上一篇    下一篇

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

李慧玲   

  1. Department of Mathematics, Southeast University, Nanjing 210018, P. R. China
  • 收稿日期:2008-04-22 修回日期:2009-04-07 出版日期:2009-06-01 发布日期:2009-06-01

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

Hui-Ling LI   

  1. Department of Mathematics, Southeast University, Nanjing 210018, P. R. China
  • Received:2008-04-22 Revised:2009-04-07 Online:2009-06-01 Published:2009-06-01

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摘要： 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.

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

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

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