TRANSMISSION DYNAMICS OF A CHAGAS DISEASE MODEL WITH STANDARD INCIDENCE INFECTION

被引：0
|
作者：
Meng, Fanwei [1 ]
Chen, Lin [2 ]
Zhang, Xianchao [3 ]
Xu, Yancong [2 ]
机构：
[1] Qufu Normal Univ, Dept Math, Qufu 273165, Peoples R China
[2] China Jiliang Univ, Dept Math, Hangzhou 310018, Peoples R China
[3] Jiaxing Univ, Coll Informat Sci & Engn, Jiaxing 314001, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 06期
关键词：
Chagas disease; Ricker's type reproduction; standard incidence rate; backward/forward bifurcation; VECTOR; REDUVIIDAE; HEMIPTERA;
D O I：
10.11948/20230071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an insect-parasite-host model with Ricker's type re-production of triatomines and the standard incidence rate of the interaction between insects and hosts is formulated to study the transmission dynamics of Chagas disease. Two thresholds of the ecological basic reproduction number of triatomines and the epidemiological basic reproduction number of Chagas disease are derived, which determine the dynamics of this model. As a result, the existence of equilibria and the local/global stabilities of the equilibrium are accordingly obtained. Moreover, backward bifurcation, forward bifurca-tion and saddle-node bifurcation are also shown analytically and numerically. Biologically speaking, Chagas disease may undergo outbreak if the number of bites of per triatomine bug per unit time or the transmission probability from infected bugs to susceptible competent hosts per bite increase.
引用
收藏
页码：3422 / 3441
页数：20
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