Results
Title

MODELING THE TRANSMISSION PHENOMENA OF COVID-19 INFECTION WITH THE EFFECT OF VACCINATION VIA NONINTEGER DERIVATIVE UNDER REAL STATISTIC.

Authors

CUI, TING; LIU, PEIJIANG

Abstract

The infection of coronavirus (COVID-19) is a dangerous and life-threatening disease which spread to almost all parts of the globe. We present a mathematical model for the transmission of COVID-19 with vaccination effects. The basic properties of fractional calculus are presented for the inspection of the model. We calculate the equilibria of the model and determined the reproduction number ℛ 0 . Local asymptotic stability conditions for the disease-free are obtained which determines the conditions to stabilize the exponential spread of the disease. The nonlinear least-square procedure is utilized to parameterize the model from actual cases reported in Pakistan. By fixed point theory, we prove the existence of a unique solution. We also present numerical results to simulate virus transmission and compare the results with those of the Caputo derivative. We study the solution pathways of the COVID-19 system to provide effective control policies for the infection. Significant changes have been noticed by lowering the order of fractional derivative.

Subjects

PAKISTAN; COVID-19; FIXED point theory; VACCINATION; COVID-19 vaccines; INFECTIOUS disease transmission; FRACTIONAL calculus

Publication

Fractals, 2022, Vol 30, Issue 5, p1

ISSN

0218-348X

Publication type

Academic Journal

DOI

10.1142/S0218348X22401521