Journal of Guangxi Normal University(Natural Science Edition) ›› 2021, Vol. 39 ›› Issue (2): 125-131.doi: 10.16088/j.issn.1001-6600.2019050801

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Global Existence of Solutions for a Three Species Predator-prey Model with Cross-diffusion

YAN Sha   

  1. School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong Shaanxi 723000, China
  • Received:2019-05-08 Revised:2019-09-23 Online:2021-03-25 Published:2021-04-15

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Abstract: In this paper, using the energy estimates and the bootstrap arguments, the global existence of solutions for a three species predator-prey model with cross-diffusion is proved when the space dimension is less than 10. Under certain conditions for the coefficients of the reaction functions, the convergence of solutions for the system is discussed by constructing Lyapunov function.

Key words: predator-prey, cross-diffusion, global solutions, existence, convergence

CLC Number: 

  • O175.26
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