具有免疫丧失、抑制效应、拥挤效应的物流生长SIR模型全局稳定性分析及保护措施

U. Ghosh, Sudeep Sarkar
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引用次数: 0

摘要

在本文中,我们考虑了一个具有logistic增长易感的SIR模型,其中发病率直接受到易感人群和感染人群的抑制因素以及感染人群的保护措施的影响。研究了解的持久性、全局稳定性和平衡点邻域的分岔分析。利用中心流形理论寻找分岔的方向。最后进行了数值模拟,验证了理论结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Global Stability Analysis of Logistically Grown SIR Model with Loss of Immunity, Inhibitory Effect, Crowding Effect and its Protection Measure
In this paper we have considered an SIR model with logistically grown susceptible in which the rate of incidence is directly affected by the inhibitory factors of both susceptible and infected populations and the protection measure for the infected class. Permanence of the solutions, global stability and bifurcation analysis in the neighborhood of equilibrium points has been investigated here. The Center manifold theory is used to find the direction of bifurcations. Finally numerical simulation is carried out to justify the theoretical findings.
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