使用模糊参数对基本麻疹模型进行可行性和稳定性分析

H. A. Bhavithra, S. Sindu Devi
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引用次数: 0

摘要

在本文中,我们使用模糊易感-传染性恢复(SIR)模型研究了麻疹病毒大流行的行为。为了研究不同分区阶段的影响,我们分析了无病平衡点和基本繁殖数。麻疹模型在无疾病平衡点上具有全局渐近稳定性。为了对麻疹进行数学模拟,我们使用了一阶非线性微分方程。我们使用 Runge-Kutta 方法计算了数值解,并讨论了模型的可行性。
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Feasibility and Stability Analysis for Basic Measles Model Using Fuzzy Parameter
In this article, we investigate the behaviors of the measles viral pandemic using fuzzy susceptible-infectiousrecovered (SIR) model. To examine the effects of various compartment phases, we analyze disease-free equilibrium points along with basic reproduction number. The measles model is stated to be globally asymptotically stable at the disease-free equilibrium point. In order to mathematically simulate the measles, we use a first-order nonlinear differential equation. The numerical solution is computed using the Runge-Kutta method, and the model’s feasibility is also covered.
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