Mathematical analysis for the effect of voluntary vaccination on the propagation of Corona virus pandemic

• DOI: 10.1016/j.rinp.2021.104917
• Publication Date: 2021-10-25T19:07:13Z
• Authors: W. Ahmad; M. Abbas; M. Rafiq; D. Baleanu
• Keywords: Corona (planetary geology); Pandemic; Invariance principle

In this manuscript, a new nonlinear model for the rapidly spreading Corona virus disease (COVID-19) is developed. We incorporate an additional class of vaccinated humans which ascertains impact vaccination strategy susceptible humans. A complete mathematical analysis conducted to predict dynamics in population. The proves effectiveness employed and helps public health services control or reduce burden corona pandemic. first prove existence uniqueness then boundedness positivity solutions. Threshold parameter computed analytically. Stability proposed at fixed points investigated analytically with help threshold examine epidemiological relevance apply LaSalle's invariance principle from theory Lyapunov function global stability both equilibria. Two well known numerical techniques namely Runge-Kutta method order 4 (RK4), Non-Standard Finite Difference (NSFD) are solve system ODE's validate our obtained theoretical results. For different coverage levels voluntary vaccination, we explored quantitative model. To draw conclusions, effect on studied numerically. It claimed that could be eradicated faster if human community selfishly adopts mandatory measures various proper awareness. Finally, have executed joint variability all classes understand dynamics.