Dynamics of COVID‐19 Using SEIQR Epidemic Model

Abstract

The major goal of this study is to create an optimal technique for managing COVID-19 spread by transforming the SEIQR model into a dynamic (multistage) programming problem with continuous and discrete time-varying transmission rates as optimizing variables. We have developed an optimal control problem for a discrete-time, deterministic susceptible class (S), exposed class (E), infected class (I), quarantined class (Q), and recovered class (R) epidemic with a finite time horizon. The problem involves finding the minimum objective function of a controlled process subject to the constraints of limited resources. For our model, we present a new technique based on dynamic programming problem solutions that can be used to minimize infection rate and maximize recovery rate. We developed suitable conditions for obtaining monotonic solutions and proposed a dynamic programming model to obtain optimal transmission rate sequences. We explored the positivity and unique solvability nature of these implicit and explicit time-discrete models. According to our findings, isolating the affected humans can limit the danger of COVID-19 spreading in the future.

Estimating the Spread of Generalized Compartmental Model of Monkeypox Virus Using a Fuzzy Fractional Laplace Transform Method

“…Equations ( 49) and (50) represent the SEIQR and SEI models for humans and rodents, respectively. There are numerous approaches used to solve the solution for these two models [50][51][52][53]. As a result, the monkeypox virus model can be considered to be the generalized compartmental model for all other compartmental models.…”

Analysis of the Mathematical Modelling of COVID-19 by Using Mild Solution with Delay Caputo Operator

“…This model has been widely applied to solve problems involving fractional and classical differential equations [16,17]. Avinash [18] and Chellamani [19] worked on the COVID-19 model. Nonetheless, the aforementioned method is rarely applied to fractional-order differential equations with nonsingular kernels [20].…”