具有标准感染发生率的恰加斯病模型的传播动力学

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI:10.11948/20230071

Fanwei Meng, Lin Chen, Xianchao Zhang, Yancong Xu

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引用次数: 0

摘要

为了研究恰加斯病的传播动力学，本文建立了三角蝽的Ricker型繁殖和昆虫与宿主相互作用的标准发病率的昆虫-寄生虫-宿主模型。推导了三棱蝽的生态基本繁殖数和恰加斯病的流行病学基本繁殖数的两个阈值，这两个阈值决定了该模型的动力学。得到了平衡点的存在性和平衡点的局部/全局稳定性。此外，还对后向分岔、前向分岔和鞍节点分岔进行了解析和数值分析。从生物学角度讲，如果单位时间内每只锥蝽虫叮咬的数量增加，或者每次叮咬从受感染的虫传播给易感的有能力的宿主的概率增加，则恰加斯病可能会爆发。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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TRANSMISSION DYNAMICS OF A CHAGAS DISEASE MODEL WITH STANDARD INCIDENCE INFECTION

In this paper, an insect-parasite-host model with Ricker’s type reproduction 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 bifurcation 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.

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来源期刊

Journal of Applied Analysis and Computation MATHEMATICS, APPLIED-

CiteScore

2.30

自引率

9.10%

发文量

期刊介绍： The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published quarterly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.