학술논문
Mathematical modelling of COVID-19 dynamics using SVEAIQHR model.
Document Type
Journal
Author
Venkatesh, Ambalarajan (6-AVVM-M) AMS Author Profile; Ankamma Rao, Mallela (6-AVVM-M) AMS Author Profile; Prakash Raj, Murugadoss (6-AVVM-M) AMS Author Profile; Arun Kumar, Karuppusamy (6-AVVM-M) AMS Author Profile; Vamsi, D. K. K. (6-SSSU2-MCS) AMS Author Profile
Source
Subject
34 Ordinary differential equations -- 34C Qualitative theory
34C23Bifurcation
34C60Qualitative investigation and simulation of models
49Calculus of variations and optimal control; optimization -- 49K Optimality conditions
49K15Problems involving ordinary differential equations
49Calculus of variations and optimal control; optimization -- 49N Miscellaneous topics
49N90Applications of optimal control and differential games
34C23
34C60
49
49K15
49
49N90
Language
English
Abstract
Summary: ``In this study, we formulate an eight-compartment mathematical model with vaccination as one of the compartments to analyze the dynamics of COVID-19 transmission. We examine the model's qualitative properties, such as positivity and boundedness of solutions, and stability analysis of the illness-free equilibrium with respect to the basic reproduction number. We estimate ten significant parameters and also compute the magnitude of the basic reproduction number for India by fitting the proposed model to daily confirmed and cumulative confirmed COVID-19 cases in India. Sensitivity analysis with respect to basic reproduction number is conducted, and the main parameters that impact the widespread of disease are determined. We further extend this model to an optimal control problem by including four non-pharmaceutical and pharmaceutical intervention measures as control functions. Our numerical results show that the four control strategy has greater impact than the three control strategies, two control strategies, and single control strategies on reducing the dynamics of COVID-19 transmission.''