新冠肺炎疾病传播率中包含恐惧的分数阶模型的动力学分析

IF 0.4 Q4 MATHEMATICS, APPLIED Mathematics in applied sciences and engineering Pub Date : 2020-08-31 DOI:10.5206/mase/10745
D. Mukherjee, C. Maji
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引用次数: 1

摘要

本文研究了一个具有恐惧效应的分数阶三维房室模型。我们调查了恐惧是否能在有限区域内传播和控制新冠肺炎、SARS等传染病方面发挥重要作用。研究了系统解的唯一性、非负性和有界性的基本结果。稳定性分析确保无病平衡点在承载能力大于某个阈值时是局部渐近稳定的。我们还导出了地方病均衡全局渐近稳定的条件,这意味着疾病在系统中持续存在。数值模拟表明,恐惧因子在Hopf分岔中起着重要作用。
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Dynamical analysis of a fractional order model incorporating fear in the disease transmission rate of COVID-19
This paper deals with a fractional-order three-dimensional compartmental model with fear effect. We have investigated whether fear can play an important role or not to spread and control the infectious diseases like COVID-19, SARS etc. in a bounded region. The basic results on uniqueness, non-negativity and boundedness of the solution of the system are investigated. Stability analysis ensures that the disease-free equilibrium point is locally asymptotically stable if carrying capacity greater than a certain threshold value.We have also derived the conditions for which endemic equilibrium is globally asymptotically stable that means the disease persists in the system. Numerical simulation suggests that the fear factor is an important role which is observed through Hopf-bifurcation.
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来源期刊
CiteScore
1.40
自引率
0.00%
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0
审稿时长
21 weeks
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