Pattern formation of a spatial epidemic model with standard incidence rate

被引：3
作者：
Fan, Y. [1 ]
机构：
[1] North Univ China, Sch Mechatron Engn, Taiyuan 030051, Peoples R China
来源：
INDIAN JOURNAL OF PHYSICS | 2014年 / 88卷 / 04期
关键词：
SI; Standard incidence rates; Pattern formation; Synchronization; POPULATION; SCATTERING; VACCINES; DISEASES; SKIN;
D O I：
10.1007/s12648-013-0431-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, a spatial epidemic model with standard incidence rate is investigated. We obtain the Hopf and Turing bifurcation critical line. Moreover, it is verified that the model has rich dynamics by a series of numerical simulations. Both spotted and labyrinthine patterns are obtained. Furthermore, synchronization of the susceptibles and the infected is gained in the Turing domain. The obtained results show that standard incidence rate may have great influence on the spatial pattern of disease.
引用
收藏
页码：413 / 419
页数：7
相关论文
共 50 条
  • [41] Pattern formation in a spatial plant-wrack model with tide effect on the wrack
    Gui-Quan Sun
    Li Li
    Zhen Jin
    Bai-Lian Li
    [J]. Journal of Biological Physics, 2010, 36 : 161 - 174
  • [42] Pattern formation in a spatial plant-wrack model with tide effect on the wrack
    Sun, Gui-Quan
    Li, Li
    Jin, Zhen
    Li, Bai-Lian
    [J]. JOURNAL OF BIOLOGICAL PHYSICS, 2010, 36 (02) : 161 - 174
  • [43] Spatial pattern formation of a ratio-dependent predator-prey model
    Lin Wang
    [J]. CHINESE PHYSICS B, 2010, 19 (09)
  • [44] Spatial pattern formation of a ratio-dependent predator-prey model
    林望
    [J]. Chinese Physics B, 2010, (09) : 82 - 89
  • [45] GLOBAL DYNAMICS OF A MULTI-GROUP EPIDEMIC MODEL WITH GENERAL RELAPSE DISTRIBUTION AND NONLINEAR INCIDENCE RATE
    Wang, Jinliang
    Zu, Jian
    Liu, Xianning
    Huang, Gang
    Zhang, Jimin
    [J]. JOURNAL OF BIOLOGICAL SYSTEMS, 2012, 20 (03) : 235 - 258
  • [46] A regime-switching SIR epidemic model with a ratio-dependent incidence rate and degenerate diffusion
    Cao, Zhongwei
    Liu, Xu
    Wen, Xiangdan
    Liu, Liya
    Zu, Li
    [J]. SCIENTIFIC REPORTS, 2019, 9 (1)
  • [47] Mathematical Analysis and Pattern Formation for a Partial Immune System Modeling the Spread of an Epidemic Disease
    Bendahmane, Mostafa
    Saad, Mazen
    [J]. ACTA APPLICANDAE MATHEMATICAE, 2011, 115 (01) : 17 - 42
  • [48] Spatial dynamics of an epidemic model with nonlocal infection
    Guo, Zun-Guang
    Sun, Gui-Quan
    Wang, Zhen
    Jin, Zhen
    Li, Li
    Li, Can
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2020, 377
  • [49] Dynamics of a Stochastic SIS Epidemic Model with Saturated Incidence
    Chen, Can
    Kang, Yanmei
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [50] Bifurcation and chaos in an epidemic model with nonlinear incidence rates
    Li, Li
    Sun, Gui-Quan
    Jin, Zhen
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (04) : 1226 - 1234
12345