The fractional order SEIQRD compartmental model of COVID-19 is explored in this manuscript with six different categories in the Caputo approach. A few findings for the new model's existence and uniqueness criterion, as well as non-negativity and boundedness of the solution, have been established. When RCovid19<1 at infection-free equilibrium, we prove that the system is locally asymptotically stable.
View Article and Find Full Text PDFIn this manuscript, a fractional order model with vaccination has been proposed. The positivity and boundedness of the solutions have been verified. The stability analysis of the model shows that the system is locally as well as globally asymptotically stable at disease-free equilibrium point when < 1 and at epidemic equilibrium when .
View Article and Find Full Text PDFPartial Differ Equ Appl Math
June 2022
The dynamics of COVID-19 (Coronavirus Disease-2019) transmission are described using a fractional order SIQR model. The stability analysis of the model is performed. To obtain semi-analytic solutions to the model, the Iterative Laplace Transform Method [ILTM] is implemented.
View Article and Find Full Text PDFInfectious diseases have been a constant cause of disaster in human population. Simultaneously, it provides motivation for math and biology professionals to research and analyze the systems that drive such illnesses in order to predict their long-term spread and management. During the spread of such diseases several kinds of delay come into play, owing to changes in their dynamics.
View Article and Find Full Text PDFIn mid-March 2020, the World Health Organization declared COVID-19, a worldwide public health emergency. This paper presents a study of an SEIRV epidemic model with optimal control in the context of the Caputo fractional derivative of order . The stability analysis of the model is performed.
View Article and Find Full Text PDFBackground: Success of cervical screening initiatives depends on high participation of the target population, which in turn is determined by the women's perceptions, health orientation and other socio-cultural issues. The present study identifies the immediate social and cultural barriers that prevent women to attend cervical screening facilities.
Methods: Women non-compliant to a community-based cervical screening program were identified.