Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (2): 254-258.

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Periodic Solutions to a Delayed Semi-ratio Dependent Diffusion System on Time Scales

  

  1. 1. School of Science, Harbin University 2. Department of Mathematics, Harbin Engineering University

  • Received:2010-09-26 Online:2012-06-30 Published:2023-03-29
  • About author:LIU Zhen-jie(1970-), male, native of Mishan, Heilongjiang, an associate professor of Harbin University, M.S.D., engages in biomathematics; FANG Xiao-chao(1981-), female, native of Hailun, Heilongjiang, a lecturer of Harbin University, M.S.D, engeges in Lie algelra and its application; LI Ming(1972-), female, native of Tianjin, an associate professor of Harbin Engineering University, Ph.D., engages in unce rtain linear neutral delay systems; GAO Zhi-ying(1961-), female, native of Shenyang, Liaoning, an assoiate professor of Harbin University, M.S.D., engages in differential equation theory.
  • Supported by:
    Supported by the Foundation for Scientific Research Projects of Education Department of Heilongjiang Province(11553058)

Abstract: In this paper, we investigate the existence of periodic solutions of a semi-ratio-dependent predator-prey diffusion system with functional responses and time delays in a two-patch environment on time scales by using a continuation theorem based on coincidence degree theory.

Key words: time scale, predator-prey system, di?usion system, coincidence degree

CLC Number: