Bhardwaj Vinod Kumar, Goyal Manish
Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura, 281406 India.
Int J Appl Comput Math. 2021;7(6):257. doi: 10.1007/s40819-021-01200-5. Epub 2021 Nov 30.
In this article, the analysis of an arbitrary order Ebola virus disease model is conducted to find out its reliable solution. The fractional derivative is taken in Liouville-Caputo sense. The solution of this nonlinear model is achieved using fractional variational iteration scheme. The convergence analysis of the obtained solution is also presented which confirms that it is positive, bounded and convergent. The outcomes are discussed with figures explaining variation of susceptible, infected, recovered population and number of disease induced deaths with time. The negligible error in successive iterations of various population shows the competency of the presented scheme. The results endorse that FVIM is extremely effective, powerful and easy in usage.
在本文中，对一个任意阶埃博拉病毒病模型进行了分析，以找出其可靠解。分数阶导数采用刘维尔 - 卡普托意义下的定义。该非线性模型的解通过分数变分迭代格式得到。还给出了所得解的收敛性分析，证实其为正、有界且收敛。通过图表讨论了结果，这些图表解释了易感人群、感染人群、康复人群以及疾病导致的死亡人数随时间的变化情况。各人群连续迭代中的可忽略误差表明了所提出格式的有效性。结果表明分数变分迭代法极其有效、强大且使用简便。
