TRANSMISSION DYNAMICS OF A CHAGAS DISEASE MODEL WITH STANDARD INCIDENCE INFECTION

Fanwei Meng; Lin Chen; Xianchao Zhang; Yancong Xu

doi:10.11948/20230071

2023 Volume 13 Issue 6

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Article navigation > Journal of Applied Analysis & Computation > 2023 > 13(6): 3422-3441

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Fanwei Meng, Lin Chen, Xianchao Zhang, Yancong Xu. TRANSMISSION DYNAMICS OF A CHAGAS DISEASE MODEL WITH STANDARD INCIDENCE INFECTION[J]. Journal of Applied Analysis & Computation, 2023, 13(6): 3422-3441. doi: 10.11948/20230071

Citation:

Fanwei Meng, Lin Chen, Xianchao Zhang, Yancong Xu. TRANSMISSION DYNAMICS OF A CHAGAS DISEASE MODEL WITH STANDARD INCIDENCE INFECTION[J]. Journal of Applied Analysis & Computation, 2023, 13(6): 3422-3441. doi: 10.11948/20230071

TRANSMISSION DYNAMICS OF A CHAGAS DISEASE MODEL WITH STANDARD INCIDENCE INFECTION

1.
Department of Mathematics, Qufu Normal University, Qufu 273165, China
2.
Department of Mathematics, China Jiliang University, Hangzhou 310018, China
3.
College of Information Science and Engineering, Jiaxing University, Jiaxing 314001, China

Author Bio: Email: fwmeng@mail.qfnu.edu.cn(F. Meng); Email: lin_chen_cn@163.com(L. Chen); Email: zhangxianchao@zjxu.edu.cn(X. Zhang)
Corresponding author: Email: Yancongx@cjlu.edu.cn(Y. Xu)

Abstract

Abstract

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.
- Chagas disease /
- Ricker’s type reproduction /
- standard incidence rate /
- backward/forward bifurcation
MSC: 34A34, 34A12, 34C23

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References

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