Spreading and vanishing for the logistic equation with nonlocal diffusion coefficient and free boundary

被引：0
|
作者：
Lu, Haihua [1 ]
Wei, Lei [2 ]
Zhu, Chengcheng [3 ]
机构：
[1] Nantong Univ, Sch Sci, Nantong 226007, Jiangsu, Peoples R China
[2] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
[3] Jiangnan Univ, Sch Sci, Wuxi 214122, Jiangsu, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 502卷 / 02期
关键词：
Free boundary; Nonlocal diffusion; Spreading-vanishing; Spreading speed; MODEL; SPACE;
D O I：
10.1016/j.jmaa.2021.125276
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we mainly consider a class of free boundary problems of reaction diffusion equations with nonlocal diffusion coefficient. By the well-known contraction mapping theorem, the uniqueness and existence of solutions are established for the local time t > 0. Secondly, we give some sufficient conditions for vanishing phenomenon and spreading phenomenon, respectively. Further, we prove a spreading vanishing dichotomy for this model. Finally, we obtain the asymptotic spreading speed when spreading happens. (c) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页数：22
相关论文
共 50 条
  • [1] The influence of a metasolution on the behaviour of the logistic equation with nonlocal diffusion coefficient
    Figueiredo-Sousa, Tarcyana S.
    Rodrigo-Morales, Cristian
    Suarez, Antonio
    [J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 57 (04)
  • [2] The influence of a metasolution on the behaviour of the logistic equation with nonlocal diffusion coefficient
    Tarcyana S. Figueiredo-Sousa
    Cristian Rodrigo-Morales
    Antonio Suárez
    [J]. Calculus of Variations and Partial Differential Equations, 2018, 57
  • [3] SPREADING-VANISHING DICHOTOMY IN THE DIFFUSIVE LOGISTIC MODEL WITH A FREE BOUNDARY
    Du, Yihong
    Lin, Zhigui
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2010, 42 (01) : 377 - 405
  • [4] Spreading-vanishing dichotomy in a diffusive logistic model with a free boundary, II
    Du, Yihong
    Guo, Zongming
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 250 (12) : 4336 - 4366
  • [5] A LOGISTIC EQUATION WITH REFUGE AND NONLOCAL DIFFUSION
    Garcia-Melian, Jorge
    Rossi, Julio D.
    [J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2009, 8 (06) : 2037 - 2053
  • [6] NUMERICAL STUDY OF VANISHING AND SPREADING DYNAMICS OF CHEMOTAXIS SYSTEMS WITH LOGISTIC SOURCE AND A FREE BOUNDARY
    Yang, Lei
    Bao, Lianzhang
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (02): : 1083 - 1109
  • [7] Spreading in a Shifting Environment Modeled by the Diffusive Logistic Equation with a Free Boundary
    Du, Yihong
    Wei, Lei
    Zhou, Ling
    [J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2018, 30 (04) : 1389 - 1426
  • [8] Spreading in a Shifting Environment Modeled by the Diffusive Logistic Equation with a Free Boundary
    Yihong Du
    Lei Wei
    Ling Zhou
    [J]. Journal of Dynamics and Differential Equations, 2018, 30 : 1389 - 1426
  • [9] A nonlocal diffusion equation whose solutions develop a free boundary
    Cortazar, C
    Elgueta, M
    Rossi, JD
    [J]. ANNALES HENRI POINCARE, 2005, 6 (02): : 269 - 281
  • [10] A Nonlocal Diffusion Equation whose Solutions Develop a Free Boundary
    Carmen Cortazar
    Manuel Elgueta
    Julio D. Rossi
    [J]. Annales Henri Poincaré, 2005, 6 : 269 - 281
12345