Numerical Analysis of an SEIR Epidemic Model

F. Dayan
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Abstract

This paper is concerned for the numerical methods of susceptible exposed infectious recovered (SEIR) epidemic model of Coronavirus disease factor. The model is handled numerically with three extraordinary numerical scheme, forward Euler, Runge-Kutta Plan (RK-4) and the proposed non-standard finite difference (NSFD) techniques. In epidemic model of infectious illnesses, energy is a demon omen property of the consistent framework since negative worth of a subpopulation is useless. The NSFD technique ends up being more important and trustable numerical system than forward Euler and RK-4 strategies. NSFD technique uses terrifically significant properties of tireless SEIR Coronavirus scourge model like energy and presence of equilibria while forward Euler and RK-4 systems can't hold these characteristics. Furthermore, the proposed NSFD is liberated from time step size while forward Euler and RK-4 depend upon the time step size. The numerical diversions with the aid of a numerical test is presented for the endorsements of the huge number of characteristics.
SEIR流行病模型的数值分析
本文研究了冠状病毒病因子易感暴露感染恢复(SEIR)流行模型的数值方法。采用正演欧拉法、龙格-库塔法(RK-4)和提出的非标准有限差分法(NSFD)对模型进行了数值处理。在传染病的流行模型中,能量是一致框架的一个恶魔预兆属性,因为一个亚群的负值是无用的。NSFD技术最终成为比正向欧拉和RK-4策略更重要和可靠的数值系统。NSFD技术利用了不知疲倦的SEIR冠状病毒祸害模型的非常重要的特性,如能量和平衡的存在,而正向欧拉和RK-4系统不能保持这些特性。此外,所提出的NSFD不受时间步长的限制,而前向欧拉和RK-4依赖于时间步长。在数值试验的帮助下,提出了对大量特征的认可的数值偏移。
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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