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EFFECT OF TREATMENT AND PROTECTION MEASURES ON THE OUTBREAK OF INFECTIOUS DISEASE USING AN SIR EPIDEMIC MODEL WITH TWO DELAYS, DISCRETE AND DISTRIBUTED
Fractals ( IF 4.7 ) Pub Date : 2022-09-09 , DOI: 10.1142/s0218348x2240223x
MOHAMMED AMINE MENOUER 1, 2 , NADIA GUL 3 , SALIH DJILALI 1, 4 , ANWAR ZEB 5 , ZAREEN A. KHAN 6
Affiliation  

In this paper, we aim to analyze the effect of treatment and protection measures on the spread of infectious disease. Therefore, we formulate a delayed mathematical which contains a discrete delay which stands for the duration of protection and distributed delay that represents the repulsed individuals from treatment. The main result is to show that the model has threshold behavior governed by 0. For 0<1, it is shown that the disease-free equilibrium is globally stable. However, for 0>1, it is proved that the semiflow is uniformly persistent, and the endemic equilibrium is globally stable. Another purpose is fixed in this paper, which consists of studying the effect of treatment and protection measures on the spread of the disease, and to distinguish the minimal protection and treatment measure for reducing the basic reproduction number below one. The results are supported numerically using numerical simulations.



中文翻译:

治疗和防护措施对传染病暴发的影响采用具有离散和分布式两种延迟的SIR流行病模型

在本文中,我们旨在分析治疗和保护措施对传染病传播的影响。因此,我们制定了一个延迟数学模型,其中包含代表保护持续时间的离散延迟和代表被拒绝接受治疗的个体的分布式延迟。主要结果是表明该模型具有由以下因素控制的阈值行为0. 为了0<1个,表明无病平衡是全局稳定的。然而,对于0>1个,证明半流是一致持续的,地方性平衡是全局稳定的。本文的另一个目的是研究治疗和保护措施对疾病传播的影响,区分将基本再生数降低到1以下的最低限度保护和治疗措施。使用数值模拟对结果进行数值支持。

更新日期:2022-09-09
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