LONG-TIME BEHAVIOR OF A NONLOCAL DISPERSAL LOGISTIC MODEL WITH SEASONAL SUCCESSION

被引:0
|
作者
Li, Zhenzhen [1 ]
Dai, Binxiang [1 ]
机构
[1] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
来源
MATHEMATICS IN APPLIED SCIENCES AND ENGINEERING | 2022年 / 3卷 / 04期
基金
中国国家自然科学基金;
关键词
Nonlocal dispersal; Seasonal succession; Persistence-extinction; PRINCIPAL EIGENVALUE; COMPETITION; EQUATIONS; OPERATORS; EVOLUTION; DYNAMICS;
D O I
10.5206/mase/15415
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is devoted to a nonlocal dispersal logistic model with seasonal succession in one-dimensional bounded habitat, where the seasonal succession accounts for the effect of two different seasons. Firstly, we provide the persistence-extinction criterion for the species, which is different from that for local diffusion model. Then we show the asymptotic profile of the time-periodic positive solution as the species persists in long run.
引用
收藏
页码:249 / 268
页数:20
相关论文
共 50 条
  • [31] A nonlocal dispersal and time delayed HIV infection model with general incidences
    Wu, Peng
    Zhang, Yu-huai
    Wang, Ling
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2024, 39 (03) : 448 - 457
  • [32] Propagation Dynamics in a Time Periodic Nonlocal Dispersal Model with Stage Structure
    Wan-Tong Li
    Jia-Bing Wang
    Xiao-Qiang Zhao
    Journal of Dynamics and Differential Equations, 2020, 32 : 1027 - 1064
  • [33] The long-time behavior of a stochastic SIR epidemic model with distributed delay and multidimensional Levy jumps
    Kiouach, Driss
    Sabbar, Yassine
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2022, 15 (03)
  • [34] LONG-TIME BEHAVIOR OF STOCHASTIC STAGED PROGRESSION EPIDEMIC MODEL WITH HYBRID SWITCHING FOR THE TRANSMISSION OF HIV
    Liu, Songnan
    Xu, Xiaojie
    Dong, Zhangyi
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (01): : 125 - 152
  • [35] LONG-TIME BEHAVIOR OF A SIZE-STRUCTURED POPULATION MODEL WITH DIFFUSION AND DELAYED BIRTH PROCESS
    Yan, Dongxue
    Fu, Xianlong
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2022, 11 (03): : 895 - 923
  • [36] Long-time behavior for a nonlinear parabolic problem with variable exponents
    Niu, Weisheng
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 393 (01) : 56 - 65
  • [37] Long-time behavior of many-particle quantum decay
    del Campo, A.
    PHYSICAL REVIEW A, 2011, 84 (01):
  • [38] Long-time behavior of stochastic Hamilton-Jacobi equations
    Gassiat, Paul
    Gess, Benjamin
    Lions, Pierre-Louis
    Souganidis, Panagiotis E.
    JOURNAL OF FUNCTIONAL ANALYSIS, 2024, 286 (04)
  • [39] VISCOUS SHOCKS AND LONG-TIME BEHAVIOR OF SCALAR CONSERVATION LAWS
    Gallay, Thierry
    Scheel, Arnd
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2024, 23 (10) : 1448 - 1482
  • [40] Long-time behavior of a class of thermoelastic plates with nonlinear strain
    Fatori, L. H.
    Jorge Silva, M. A.
    Ma, T. F.
    Yang, Zhijian
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (09) : 4831 - 4862