Study of COVID-19 mathematical model of fractional order via modified Euler method | Zendy

Ghazala Nazir | Zendy; Anwar Zeb | Zendy; Kamal Shah | Zendy; Tareq Saeed | Zendy; Rahmat Ali Khan | Zendy; Sheikh Irfanullah Khan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Study of COVID-19 mathematical model of fractional order via modified Euler method

Author(s) -

Ghazala Nazir,

Anwar Zeb,

Kamal Shah,

Tareq Saeed,

Rahmat Ali Khan,

Sheikh Irfanullah Khan

Publication year - 2021

Publication title -

alexandria engineering journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.584

H-Index - 58

eISSN - 2090-2670

pISSN - 1110-0168

DOI - 10.1016/j.aej.2021.04.032

Subject(s) - bounded function , mathematics , fractional calculus , stability (learning theory) , euler's formula , representation (politics) , order (exchange) , basic reproduction number , covid-19 , euler method , fixed point theorem , point (geometry) , transmission (telecommunications) , derivative (finance) , mathematical optimization , computer science , mathematical analysis , disease , geometry , population , law , pathology , sociology , machine learning , political science , medicine , demography , finance , politics , infectious disease (medical specialty) , economics , financial economics , telecommunications

Our main goal is to develop some results for transmission of COVID-19 disease through Bats-Hosts-Reservoir-People (BHRP) mathematical model under the Caputo fractional order derivative (CFOD). In first step, derived the feasible region and bounded ness of the model. Also, we derived the disease free equilibrium points (DFE) and basic reproductive number for the model. Next, we establish theoretical results for the considered model via fixed point theory. Further, the condition for Hyers-Ulam’s (H-U) type stability for the approximate solution is also established. Then, we compute numerical solution for the concerned model by applying the modified Euler’s method (MEM). For the demonstration of our proposed method, we provide graphical representation of the concerned results using some real values for the parameters involve in our considered model. For numerical illustration, we use Matlab.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research