Impact of screening, treatment, and misdiagnose on lymphatic filariasis transmission: a mathematical model

IF 0.5 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS

Communications in Mathematical Biology and Neuroscience Pub Date : 2023-01-01 DOI:10.28919/cmbn/7983

Iffatricia Haura, Vania Febiriana, Putri Zahra Adisaputri, Dipo Kamalia, Aldila

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Abstract

. A novel mathematical model is constructed in this article to understand the impact of active case ﬁndings and treatment to suppress the spread of lymphatic ﬁlariasis. The model is constructed as a nine-dimensional system of ordinary differential equations which considering the effect of misdiagnosis in the screening process. The analytical study was carried out to analyze the existence and stability of the equilibrium points, the control reproduction number, and the nonexistence of backward bifurcations in the model. Our analytical results show that the condition of free-ﬁlariasis will always be established if the control reproduction number is less than one. On the other hand, we always have a unique and stable endemic equilibrium if and only if the control reproduction number is greater than one. Our sensitivity analysis has shown that a combination of active case detection, duration, and successful probability of treatment could effectively reduce the intensity of lymphatic ﬁlariasis spread in the population.

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筛检、治疗和误诊对淋巴丝虫病传播的影响:一个数学模型

．本文构建了一个新的数学模型，以了解活跃病例发现和治疗对抑制淋巴丝虫病传播的影响。考虑了筛选过程中误诊的影响，将模型构建为一个九维常微分方程组。对模型中平衡点的存在性和稳定性、控制复制数以及后向分叉的不存在性进行了分析研究。我们的分析结果表明，当控制繁殖数小于1时，总是建立无丝虫病的条件。另一方面，当且仅当控制繁殖数大于1时，我们总是有一个唯一且稳定的地方性平衡。我们的敏感性分析表明，结合主动病例发现、持续时间和治疗成功率，可以有效降低淋巴丝虫病在人群中的传播强度。

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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来源期刊

Communications in Mathematical Biology and Neuroscience COMPUTER SCIENCE, INFORMATION SYSTEMS-

CiteScore

2.10

自引率

15.40%

发文量

期刊介绍： Communications in Mathematical Biology and Neuroscience (CMBN) is a peer-reviewed open access international journal, which is aimed to provide a publication forum for important research in all aspects of mathematical biology and neuroscience. This journal will accept high quality articles containing original research results and survey articles of exceptional merit.