Acta mathematica scientia,Series B ›› 2018, Vol. 38 ›› Issue (3): 1001-1024.doi: 10.1016/S0252-9602(18)30798-7

• Articles • Previous Articles     Next Articles

STABILITY OF TRAVELING WAVES IN A POPULATION DYNAMIC MODEL WITH DELAY AND QUIESCENT STAGE

Yonghui ZHOU, Yunrui YANG, Kepan LIU   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China
  • Received:2017-06-30 Revised:2017-10-25 Online:2018-06-25 Published:2018-06-25
  • Contact: Yunrui YANG E-mail:lily1979101@163.com
  • Supported by:

    Yunrui Yang (lily1979101@163.com) is supported by the NSF of China (11761046,11301241).

Abstract:

This article is concerned with a population dynamic model with delay and quiescent stage. By using the weighted-energy method combining continuation method, the exponential stability of traveling waves of the model under non-quasi-monotonicity conditions is established. Particularly, the requirement for initial perturbation is weaker and it is uniformly bounded only at x=+∞ but may not be vanishing.

Key words: Stability, traveling waves, weighted-energy method

Trendmd