Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (4): 522-529.

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The Existence of Positive Solutions for Volterra-Lotka Cooperating Model with Diffusion

  

  1. School of Sciences, Xi’an Jiaotong University
  • Received:2006-09-18 Online:2010-12-30 Published:2023-05-17
  • About author:WANG Li-zhou(1972-), male, native of Anguo, Hebei, an associate professor of Xi’an Jiaotong University, Ph.D., engages in partial differential euqation.
  • Supported by:
     Supported by NSF of China(10471109; 10971164);

Abstract: In this paper, using the existence and comparison result for the quasi-monotone increasing system developed by C V Pao, the upper and lower solutions principle and an iterative method, we investigate the existence of the positive solutions of the Volterra-Lotka cooperating model.

Key words:  positive solution, Volterra-Lotka model, upper and lower solutions

CLC Number: