An SIS sex-structured influenza A model with positive case fatality in an open population with varying size.

IF 2.6 4区 工程技术 Q1 Mathematics
Muntaser Safan, Bayan Humadi
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引用次数: 0

Abstract

This work aims to study the role of sex disparities on the overall outcome of influenza A disease. Therefore, the classical Susceptible-Infected-Susceptible (SIS) endemic model was extended to include the impact of sex disparities on the overall dynamics of influenza A infection which spreads in an open population with a varying size, and took the potential lethality of the infection. The model was mathematically analyzed, where the equilibrium and bifurcation analyses were established. The model was shown to undergo a backward bifurcation at $ \mathcal{R}_0 = 1 $, for certain range of the model parameters, where $ \mathcal{R}_0 $ is the basic reproduction number of the model. The asymptotic stability of the equilibria was numerically investigated, and the effective threshold was determined. The differences in susceptibility, transmissibility and case fatality (of females with respect to males) are shown to remarkably affect the disease outcomes. Simulations were performed to illustrate the theoretical results.

SIS 性别结构甲型流感模型,在不同规模的开放人群中具有正病死率。
这项工作旨在研究性别差异对甲型流感疾病总体结果的影响。因此,对经典的易感-感染-易感(SIS)流行模型进行了扩展,以包括性别差异对甲型流感感染整体动态的影响。对模型进行了数学分析,建立了平衡和分岔分析。结果表明,在模型参数一定的范围内,模型在 $ \mathcal{R}_0 = 1 $ 时发生向后分叉,其中 $ \mathcal{R}_0 $ 是模型的基本繁殖数。对平衡态的渐近稳定性进行了数值研究,并确定了有效阈值。结果表明,雌性与雄性在易感性、传播性和病死率上的差异会显著影响疾病的结果。为说明理论结果,还进行了模拟。
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
Mathematical Biosciences and Engineering
Mathematical Biosciences and Engineering 工程技术-数学跨学科应用
CiteScore
3.90
自引率
7.70%
发文量
586
审稿时长
>12 weeks
期刊介绍: Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).
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