Article citationsMore>>

Lin, X.B., Weng, P. and Wu, C.F. (2011) Traveling Wave Solutions for a Predator-Prey System with Sigmoidal Response Function. Journal of Dynamics and Differential Equations, 23, 903-921.
https://doi.org/10.1007/s10884-011-9220-7

has been cited by the following article:

• TITLE: Existence of Forced Waves and Their Asymptotic for Leslie-Gower Prey-Predator Model with Nonlocal Effects under Shifting Environment

  AUTHORS: Qingru Guo, Hongmei Cheng

  KEYWORDS: Leslie-Gower Prey-Predator Model, Nonlocal Effects, Shifting Environment, Forced Waves

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.6, June 30, 2023

  ABSTRACT: In this paper, we prove the existence of forced waves for Leslie-Gower prey-predator model with nonlocal effects under shifting environment. By constructing a pair of upper and lower solutions with the method of monotone iteration, we can obtain the existence of forced waves for any positive constant shifting speed. Finally, we show the asymptotical behavior of traveling wave fronts in two tails.