Search Advanced

Mathematical Biosciences and Engineering

2015, Volume 12, Issue 3: 415-429. doi: 10.3934/mbe.2015.12.415
Previous Article Next Article

An SIRS model with differential susceptibility and infectivity on uncorrelated networks

  • 1.
    Department of Mathematics, North University of China, Taiyuan, Shanxi 030051
  • 2.
    Department of Applied Mathematics, Yuncheng University, Yuncheng, Shanxi 044000
  • Received: 01 July 2013 Accepted: 29 June 2018 Published: 01 January 2015

  • MSC : Primary: 34C25, 92D30; Secondary: 34K25.

  • We propose and study a model for sexually transmitted infections on uncorrelated networks, where both differential susceptibility and infectivity are considered. We first establish the spreading threshold, which exists even in the infinite networks. Moreover, it is possible to have backward bifurcation. Then for bounded hard-cutoff networks, the stability of the disease-free equilibrium and the permanence of infection are analyzed. Finally, the effects of two immunization strategies are compared. It turns out that, generally, the targeted immunization is better than the proportional immunization.

    Citation: Maoxing Liu, Yuming Chen. An SIRS model with differential susceptibility and infectivity on uncorrelated networks[J]. Mathematical Biosciences and Engineering, 2015, 12(3): 415-429. doi: 10.3934/mbe.2015.12.415

    Related Papers:

  • We propose and study a model for sexually transmitted infections on uncorrelated networks, where both differential susceptibility and infectivity are considered. We first establish the spreading threshold, which exists even in the infinite networks. Moreover, it is possible to have backward bifurcation. Then for bounded hard-cutoff networks, the stability of the disease-free equilibrium and the permanence of infection are analyzed. Finally, the effects of two immunization strategies are compared. It turns out that, generally, the targeted immunization is better than the proportional immunization.


    加载中
    [1] Mathematical Population Studies, 16 (2009), 266-287.
    [2] Science, 286 (1999), 509-512.
    [3] J. Math. Biol., 62 (2011), 39-64.
    [4] Rev. Mod. Phys., 80 (2008), 1275-1335.
    [5] Phys. Rev. E, 77 (2008), 036113, 8pp.
    [6] Physica A, 380 (2007), 684-690.
    [7] J. Math. Biol., 50 (2005), 626-644.
    [8] Math. Biosci. Engrg., 3 (2006), 89-100.
    [9] Math. Biosci. Engrg., 6 (2009), 321-332.
    [10] Math. Biosci., 28 (1976), 221-236.
    [11] SIAM J. Appl. Math., 63 (2003), 1313-1327.
    [12] Nature, 411 (2001), 907-908.
    [13] J. Math. Anal. Appl., 365 (2010), 210-219.
    [14] Nonlinear Anal.: RWA, 4 (2003), 841-856.
    [15] 3rd Ed., Springer-Verlag, New York, 2002.
    [16] Phys. Rev. E, 64 (2001), 066112.
    [17] SIAM Rev., 45 (2003), 167-256.
    [18] Phys. Rev. Lett., 86 (2001), 3200-3203.
    [19] Phys. Rev. E, 65 (2002), 035108.
    [20] Phys. Rev. E, 65 (2002), 036104.
    [21] Math. Biosci., 201 (2006), 3-14.
    [22] Sex. Transm. Dis., 31 (2004), 380-387.
    [23] J. Virology, 79 (2005), 8861-8869.
    [24] Artif. Life Robotics, 11 (2007), 157-161.
    [25] SIAM J. Math. Anal., 24 (1993), 407-435.
    [26] Phys. Lett. A, 364 (2007), 189-193.
    [27] Nonlinear Anal. Real World Appl., 9 (2008), 1714-1726.
    [28] J. Math. Anal. Appl., 331 (2007), 1396-1414.
    [29] J. Math. Anal. Appl., 340 (2008), 102-115.
    [30] Phys. Rev. E, 83 (2011), 056121.
  • Reader Comments
  • © 2015 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
Mathematical Biosciences and Engineering
2.6 3.9

Metrics

Article views(1642) PDF downloads(512) Cited by(6)

Preview PDF
Download XML
Export Citation
Article outline

Other Articles By Authors

Related pages

Tools

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog