DYNAMICS OF TRAVELING WAVES FOR PREDATOR-PREY SYSTEMS WITH ALLEE EFFECT AND TIME DELAY

被引：0
|
作者：
Hua, Yang [1 ]
Lin, Xiaojie [1 ]
Liu, Jiang [1 ]
Lu, Haixia [2 ]
机构：
[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China
[2] Jiangsu Normal Univ, Sch Life Sci, Xuzhou 221116, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 2024卷 / 33期
关键词：
Predator-prey system; Allee effect; traveling waves; asymptotic behavior; geometric singular perturbation; KELLER-SEGEL SYSTEM; HOPF-BIFURCATION; DIFFUSION; STABILITY; MODEL; COMPETITION; CHEMOSTAT;
D O I：
10.58997/ejde.2024.33
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article aims to establish the existence of traveling waves for a predator -prey system with Beddington-DeAngelis functional response, reproductive Allee effect, and time delay. We investigate the existence of solutions for a system with two special delay kernels by geometric singular perturbation theory, invariant manifold theory, and Fredholm orthogonality theory. In addition, we discuss the asymptotic behaviors of traveling waves with the aid of the asymptotic theory.
引用
收藏
页码：1 / 19
页数：19
相关论文
共 50 条
  • [11] Dynamics in a discrete-time predator-prey system with Allee effect
    Chen, Xian-wei
    Fu, Xiang-ling
    Jing, Zhu-jun
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2013, 29 (01): : 143 - 164
  • [12] Spatiotemporal dynamics of predator-prey system with Allee effect
    Wang, Wenting
    Ma, Zhihui
    Li, Zizhen
    ICMS2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION ICMS2010, VOL 5: APPLIED MATHEMATICS AND MATHEMATICAL MODELLING, 2010, : 216 - 219
  • [13] Dynamics of stochastic predator-prey systems with continuous time delay
    Zhang, Qiumei
    Jiang, Daqing
    CHAOS SOLITONS & FRACTALS, 2021, 152
  • [14] The dynamics and harvesting strategies of a predator-prey system with Allee effect on prey
    Lu, Chengchong
    Liu, Xinxin
    Li, Zhicheng
    AIMS MATHEMATICS, 2023, 8 (12): : 28897 - 28925
  • [15] Dynamics of a Predator-prey Model with Allee Effect and Prey Group Defense
    Saleh, Khairul
    2ND ISM INTERNATIONAL STATISTICAL CONFERENCE 2014 (ISM-II): EMPOWERING THE APPLICATIONS OF STATISTICAL AND MATHEMATICAL SCIENCES, 2015, 1643 : 655 - 661
  • [16] Continuous-time predator-prey systems with Allee effects in the prey
    Aulisa, Eugenio
    Jang, Sophia R. -J.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2014, 105 : 1 - 16
  • [17] Complex dynamics of a predator-prey model with opportunistic predator and weak Allee effect in prey
    Zhu, Zhenliang
    Chen, Yuming
    Chen, Fengde
    Li, Zhong
    JOURNAL OF BIOLOGICAL DYNAMICS, 2023, 17 (01)
  • [18] Dynamics of a Predator-Prey Model with Fear Effect and Time Delay
    Liu, Junli
    Lv, Pan
    Liu, Bairu
    Zhang, Tailei
    COMPLEXITY, 2021, 2021 (2021)
  • [19] The Dynamics of a Delayed Predator-Prey Model with Double Allee Effect
    Xie, Boli
    Wang, Zhijun
    Xue, Yakui
    Zhang, Zhenmin
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
  • [20] DYNAMICS OF A DIFFUSIVE PREDATOR-PREY MODEL WITH ADDITIVE ALLEE EFFECT
    Cai, Yongli
    Wang, Weiming
    Wang, Jinfeng
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2012, 5 (02)
12345