A metapopulation model for sylvatic T. cruzi transmission with vector migration

  • Received: 01 May 2012 Accepted: 29 June 2018 Published: 01 January 2014
  • MSC : Primary: 92D30, 92D40; Secondary: 37N25.

  • This study presents a metapopulation model for the sylvatic transmission of Trypanosoma cruzi, the etiological agent of Chagas' disease, across multiple geographical regions and multiple overlapping host-vector transmission cycles.Classical qualitative analysis of the model and several submodels focuses on the parasite's basic reproductive number, illustrating how vector migration across patches and multiple transmission routes to hosts (including vertical transmission) determine the infection's persistence in each cycle.Numerical results focus on trends in endemic [equilibrium] persistence levels as functions of vector migration rates, and highlight the significance of the different epidemiological characteristics of transmission in each of the three regions.

    Citation: Britnee Crawford, Christopher Kribs-Zaleta. A metapopulation model for sylvatic T. cruzi transmission with vector migration[J]. Mathematical Biosciences and Engineering, 2014, 11(3): 471-509. doi: 10.3934/mbe.2014.11.471

    Related Papers:

  • This study presents a metapopulation model for the sylvatic transmission of Trypanosoma cruzi, the etiological agent of Chagas' disease, across multiple geographical regions and multiple overlapping host-vector transmission cycles.Classical qualitative analysis of the model and several submodels focuses on the parasite's basic reproductive number, illustrating how vector migration across patches and multiple transmission routes to hosts (including vertical transmission) determine the infection's persistence in each cycle.Numerical results focus on trends in endemic [equilibrium] persistence levels as functions of vector migration rates, and highlight the significance of the different epidemiological characteristics of transmission in each of the three regions.
    加载中
    [1] (French) [Anosov flows with stable and unstable differentiable distributions], J. Amer. Math. Soc., 5 (1992), 33-74.
    [2] Acta tropica, 41 (1984), 93-95.
    [3] Journal of Theoretical Biology, 260 (2009), 510-522.
    [4] Mathematical Medicine and Biology, 22 (2005), 129-142.
    [5] Emerging Infectious Diseases, 9 (2003), 103-105.
    [6] Clinical Infectious Diseases, 49 (2009), 52-54.
    [7] Ecology, 40 (1959), 715-716.
    [8] International Journal of Applied Science and Computation, 3 (1996), 78-90.
    [9] Mammalian Species, 330 (1989), 1-9.
    [10] Journal of Parasitology, 66 (1980), 305-311.
    [11] Retrieved from http://www.cdc.gov/parasites/chagas
    [12] MTBI Technical Report MTBI 05-05M. Arizona State University 2008.
    [13] Molecular and Biochemical Parisitology, 66 (1994), 175-179.
    [14] Am. Midl. Nat., 137 (1996), 290-297.
    [15] Ecological Complexity, 14 (2013), 145-156.
    [16] Social Science and Medicine, 40 (1995), 1437-1440.
    [17] Infection, Genetics and Evolution, 7 (2007), 343-352.
    [18] The Southwestern Naturalist, 8 (1963), 38-42.
    [19] Mammalian Species, 189 (1982), 1-8.
    [20] J. Mammalogy, 79 (1998), 859-872.
    [21] American Journal of Tropical Medicine and Hygiene, 78 (2008), 133-139.
    [22] Journal of Medical Entomology, 43 (2006), 143-150.
    [23] Social Science and Medicine, 65 (2007), 60-79.
    [24] The Lancet, 355 (2000), 236 pp.
    [25] Journal of Economic Entomology, 77 (1984), 126-129.
    [26] Vector-Borne and Zoonotic Diseases, 9 (2009), 41-50
    [27] Mathematical Population Studies, 13 (2006), 132-152.
    [28] PLOS Neglected Tropical Diseases, 4 (2010), 1-14.
    [29] Mathematical Bioscences and Engineering, 7 (2010), 657-673.
    [30] Geospatial Health, 2 (2008), 227-239.
    [31] Acta Tropica, 52 (1992), 27-38.
    [32] Bulletin of Mathematical Biology, 68 (2006), 3-23.
    [33] Oxford: Oxford University Press, 1957.
    [34] Mathematical Biosciences, 215 (2008), 64-77.
    [35] Mammalian Species, 162 (1982), 1-9.
    [36] The Southwestern Naturalist, 47 (2002), 70-77.
    [37] American Heart Journal, 159 (2009), 22-29.
    [38] Investigación clínica (Maracaibo), 44 (2003).
    [39] Precedings of the Royal Society of London, 229 (1986), 111-1150.
    [40] Journal of Wildlife Diseases, 34 (1998), 132-136.
    [41] Journal of Medical Entomology, 7 (1970), 30-45.
    [42] Journal of Parasitology, 81 (1995), 583-587.
    [43] Bull. Texas Mem. Mus., 11 (1966), 1-62.
    [44] Mem. Inst. Oswaldo Cruz., 98 (2003), 171-180.
    [45] Emerging Infectious Diseases, 14 (2008), 1123-1125.
    [46] (2nd edition). London: Murray 1911.
    [47] PLoS Neglected Tropical Diseases, 4 (2010), 1-14.
    [48] Medical and Veterinary Entomology, 6 (1992), 51-56.
    [49] Journal of Mathematical Biology, 30 (1992), 755-763.
    [50] Rocky Mountain Journal of Mathematics, 24 (1994), 351-380.
    [51] The Southwestern Naturalist, 41 (1996), 116-122.
    [52] The Southwestern Naturalist, 36 (1991), 233-262.
    [53] Mathematical Biosciences, 180 (2002), 29-48.
    [54] Biosystems, 26 (1991), 127-134.
    [55] The Royal Society of Tropical Medicine and Hygiene, 102 (2008), 833-838.
    [56] 173 (1982), 1-7.
    [57] Retrieved from http://www.who.int/mediacentre/factsheets/fs340/en
    [58] Journal of Parasitology, 88 (2002), 1273-1276.
    [59] Vector-Borne and Zoonotic Diseases, 13 (2012), 1-9.
    [60] Annual Review of Entomology, 26 (1981), 101-133.
    [61] Mem. Inst. Oswaldo Cruz., 104 (2009), 1051-1054.

    © 2014 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)
  • Reader Comments
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

Metrics

Article views(20) PDF downloads(505) Cited by(9)

Article outline

Other Articles By Authors

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog