tetano
Editor, Senior Moderator
Results Phys
. 2020 Dec 10;103676.
doi: 10.1016/j.rinp.2020.103676. Online ahead of print.
Theoretical and Numerical Analysis of Novel COVID-19 via Fractional order Mathematical Model
Amjad Ali[SUP] 1 [/SUP], Muhammad Yasin Khan[SUP] 2 [/SUP], Muhammad Sinan[SUP] 3 [/SUP], F M Allehiany[SUP] 4 [/SUP], Emad E Mahmoud[SUP] 5 6 [/SUP], Abdel-Haleem Abdel-Aty[SUP] 7 8 [/SUP], Gohar Ali[SUP] 1 [/SUP]
Affiliations
Abstract
In the work, author's presents a very significant and important issues related to the health of mankind's. Which is extremely important to realize the complex dynamic of inflected disease. With the help of Caputo fractional derivative, We capture the epidemiological system for the transmission of Novel Coronavirus-19 Infectious Disease (nCOVID-19). We constructed the model in four compartments susceptible, exposed, infected and recovered. We obtained the conditions for existence and Ulam's type stability for proposed system by using the tools of non-linear analysis. The author's thoroughly discussed the local and global asymptotical stabilities of underling model upon the disease free, endemic equilibrium and reproductive number. We used the techniques of Laplace Adomian decomposition method for the approximate solution of consider system. Furthermore, author's interpret the dynamics of proposed system graphically via Mathematica, from which we observed that disease can be either controlled to a large extent or eliminate, if transmission rate is reduced and increase the rate of treatment.
Keywords: 26A33; 34A08; 35B40; Approximate Solutions; Fixed point theory; Laplace-Adomian decomposition method; Mathematical modeling; Ulams type Stabilities; keyword: Fractional Derivatives.
. 2020 Dec 10;103676.
doi: 10.1016/j.rinp.2020.103676. Online ahead of print.
Theoretical and Numerical Analysis of Novel COVID-19 via Fractional order Mathematical Model
Amjad Ali[SUP] 1 [/SUP], Muhammad Yasin Khan[SUP] 2 [/SUP], Muhammad Sinan[SUP] 3 [/SUP], F M Allehiany[SUP] 4 [/SUP], Emad E Mahmoud[SUP] 5 6 [/SUP], Abdel-Haleem Abdel-Aty[SUP] 7 8 [/SUP], Gohar Ali[SUP] 1 [/SUP]
Affiliations
- PMID: 33318893
- PMCID: PMC7726523
- DOI: 10.1016/j.rinp.2020.103676
Abstract
In the work, author's presents a very significant and important issues related to the health of mankind's. Which is extremely important to realize the complex dynamic of inflected disease. With the help of Caputo fractional derivative, We capture the epidemiological system for the transmission of Novel Coronavirus-19 Infectious Disease (nCOVID-19). We constructed the model in four compartments susceptible, exposed, infected and recovered. We obtained the conditions for existence and Ulam's type stability for proposed system by using the tools of non-linear analysis. The author's thoroughly discussed the local and global asymptotical stabilities of underling model upon the disease free, endemic equilibrium and reproductive number. We used the techniques of Laplace Adomian decomposition method for the approximate solution of consider system. Furthermore, author's interpret the dynamics of proposed system graphically via Mathematica, from which we observed that disease can be either controlled to a large extent or eliminate, if transmission rate is reduced and increase the rate of treatment.
Keywords: 26A33; 34A08; 35B40; Approximate Solutions; Fixed point theory; Laplace-Adomian decomposition method; Mathematical modeling; Ulams type Stabilities; keyword: Fractional Derivatives.