Abstract
A new mathematical model of Coronavirus (2019-nCov) using piecewise hybrid fractional order derivatives is given in this paper. Moreover, in order to be consistent with the physical model problem, a new parameter μ is presented. The boundedness, existence, and positivity of the solutions for the proposed model are discussed. Two improved numerical methods are presented in this paper. The Caputo proportional constant nonstandard modified Euler–Maruyama method is introduced to study the fractional stochastic model, and the Grünwald–Letnikov nonstandard finite difference method is presented to study the hybrid fractional order deterministic model. Comparative studies with real data from Spain and Wuhan are presented.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference34 articles.
1. A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials;Kumar;Numer. Methods Partial. Differ. Equ.,2021
2. Nonstandard theta Milstein method for solving stochastic multi-strain tuberculosis model;Sweilam;J. Egypt. Math. Soc.,2020
3. Sweilam, N.H., Hasan, M.M.A., and Al-Mekhlafi, S.M. On variable order Salmonella bacterial infection mathematical model. Math. Methods Appl. Sci., 2022.
4. A model of dual latency compartments for the transmission dynamics of COVID-19 in Oyo state, Nigeria;Adedire;Eng. Appl. Sci. Lett.,2021
5. Modeling the dynamics of COVID-19 using a fractal-fractional operator with a case study;Zhou;Results Phys.,2021
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献