A robust Study of the Treatment Delay Effect on the Dynamics of Epidemic Disease

Q4 Earth and Planetary Sciences
N. Ali, H. Al-Husseiny
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引用次数: 0

Abstract

     A general treatment function with an epidemic model that involves the delay in the treatment period has been  proposed and studied in this work. This model contains two compartments, namely susceptible denoted by and infected denoted by . The existence of all the fixed points has been determined. The system has two equilibrium points, namely the uninfected equilibrium point (UIEP) and the endemic equilibrium point (EEP). The conditions for local stability and Hopf bifurcation have been discussed. The stability of the periodic solutions and  the direction of the Hopf bifurcation properties have been studied analytically and numerically.
关于治疗延迟对流行病动态影响的可靠研究
本研究提出并研究了一种涉及治疗期延迟的流行病模型的一般治疗功能。该模型包含两个部分,即以表示的易感人群和以表示的感染人群。确定了所有固定点的存在性。系统有两个平衡点,即未感染平衡点(UIEP)和流行平衡点(EEP)。讨论了局部稳定性和霍普夫分岔的条件。对周期解的稳定性和霍普夫分岔特性的方向进行了分析和数值研究。
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
Iraqi Journal of Science
Iraqi Journal of Science Chemistry-Chemistry (all)
CiteScore
1.50
自引率
0.00%
发文量
241
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