tetano
Editor, Senior Moderator
Math Methods Appl Sci
. 2021 Jan 17;10.1002/mma.7191.
doi: 10.1002/mma.7191. Online ahead of print.
Modeling and simulation of fractional order COVID-19 model with quarantined-isolated people
Muhammad Aslam[SUP] 1 [/SUP], Muhammad Farman[SUP] 2 [/SUP], Ali Akg?l[SUP] 3 [/SUP], Meng Su[SUP] 1 [/SUP]
Affiliations
Abstract
The dynamics of diseases and effectiveness of control policies play important role in the prevention of epidemic diseases. To this end, this paper is concerned with the design of fractional order coronavirus disease (COVID-19) model with Caputo Fabrizio fractional derivative operator of order ? ? (0, 1] for the COVID-19. Verify the nonnegative special solution and convergence of the scheme with in the domain. Caputo-Fabrizio technique apply with Sumudu transformation method is used to solve the fractional order COVID-19 model. Fixed point theory and Picard Lindelof approach are used to provide the stability and uniqueness of the results. Numerical simulations conspicuously demonstrate that by applying the proposed fractional order model, governments could find useful and practical ways for control of the disease.
Keywords: Banach space; Picard Lindelof approach; fractional order COVID?19 model; uniqueness.
. 2021 Jan 17;10.1002/mma.7191.
doi: 10.1002/mma.7191. Online ahead of print.
Modeling and simulation of fractional order COVID-19 model with quarantined-isolated people
Muhammad Aslam[SUP] 1 [/SUP], Muhammad Farman[SUP] 2 [/SUP], Ali Akg?l[SUP] 3 [/SUP], Meng Su[SUP] 1 [/SUP]
Affiliations
- PMID: 33821071
- PMCID: PMC8014811
- DOI: 10.1002/mma.7191
Abstract
The dynamics of diseases and effectiveness of control policies play important role in the prevention of epidemic diseases. To this end, this paper is concerned with the design of fractional order coronavirus disease (COVID-19) model with Caputo Fabrizio fractional derivative operator of order ? ? (0, 1] for the COVID-19. Verify the nonnegative special solution and convergence of the scheme with in the domain. Caputo-Fabrizio technique apply with Sumudu transformation method is used to solve the fractional order COVID-19 model. Fixed point theory and Picard Lindelof approach are used to provide the stability and uniqueness of the results. Numerical simulations conspicuously demonstrate that by applying the proposed fractional order model, governments could find useful and practical ways for control of the disease.
Keywords: Banach space; Picard Lindelof approach; fractional order COVID?19 model; uniqueness.