A nonlocal SIS epidemic problem with double free boundaries

被引：15
作者：
Huang, Haomin [1 ,2 ]
Wang, Mingxin [1 ]
机构：
[1] Harbin Inst Technol, Sch Math, Harbin 150001, Heilongjiang, Peoples R China
[2] Southern Univ Sci & Technol, Dept Math, Shenzhen 518000, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 04期
关键词：
Nonlocal SIS model; Free boundaries; Existence and uniqueness; Long-time behavior; PREDATOR-PREY MODEL; MATHEMATICAL-THEORY; HIGHER DIMENSION; DYNAMICS; SYSTEM;
D O I：
10.1007/s00033-019-1156-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a nonlocal SIS epidemic model with double free boundaries. The existence, uniqueness and some estimates of the global solution are discussed first. Then, with the help of studying the long-time behavior of the solution to a Cauchy problem for a nonhomogeneous heat equation, the long-time behavior of the solution to the SIS free boundary problem is obtained for the disease vanishing case. At last, some sufficient conditions for the disease vanishing are established.
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页数：19
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共 28 条
  • [1] [Anonymous], 2002, MATH BIOL
  • [2] SPREADING SPEED REVISITED: ANALYSIS OF A FREE BOUNDARY MODEL
    Bunting, Gary
    Du, Yihong
    Krakowski, Krzysztof
    [J]. NETWORKS AND HETEROGENEOUS MEDIA, 2012, 7 (04) : 583 - 603
  • [3] A free boundary problem of a diffusive SIRS model with nonlinear incidence
    Cao, Jia-Feng
    Li, Wan-Tong
    Wang, Jie
    Yang, Fei-Ying
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (02):
  • [4] DYNAMICS OF A NONLOCAL SIS EPIDEMIC MODEL WITH FREE BOUNDARY
    Cao, Jia-Feng
    Li, Wan-Tong
    Yang, Fei-Ying
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (02): : 247 - 266
  • [5] De Mottoni P., 1979, Nonlinear Analysis Theory, Methods & Applications, V3, P663, DOI 10.1016/0362-546X(79)90095-6
  • [6] THE DIFFUSIVE COMPETITION MODEL WITH A FREE BOUNDARY: INVASION OF A SUPERIOR OR INFERIOR COMPETITOR
    Du, Yihong
    Lin, Zhigui
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2014, 19 (10): : 3105 - 3132
  • [7] SHARP ESTIMATE OF THE SPREADING SPEED DETERMINED BY NONLINEAR FREE BOUNDARY PROBLEMS
    Du, Yihong
    Matsuzawa, Hiroshi
    Zhou, Maolin
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2014, 46 (01) : 375 - 396
  • [8] 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
  • [9] 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
  • [10] Friedman A, 1983, PARTIAL DIFFERENTIAL
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