A METAPOPULATION MODEL FOR SYLVATIC T. CRUZI TRANSMISSION WITH VECTOR MIGRATION

被引:13
|
作者
Crawford, Britnee [1 ]
Kribs-Zaleta, Christopher [2 ]
机构
[1] Dallas Baptist Univ, Dallas, TX 75211 USA
[2] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA
基金
美国国家科学基金会;
关键词
T; cruzi; dynamical systems; vector migration; metapopulation model; reproductive number; CHAGAS-DISEASE VECTORS; TRYPANOSOMA-CRUZI; SPATIAL-DISTRIBUTION; LEISHMANIA-MEXICANA; TRIATOMA-INFESTANS; FLIGHT INITIATION; NEOTOMA-MICROPUS; SOUTHERN PLAINS; SPREAD; HEMIPTERA;
D O I
10.3934/mbe.2014.11.471
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
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.
引用
收藏
页码:471 / 509
页数:39
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