Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy

Abstract

This study presents methods of hygiene and the use of masks to control the disease. The zero basic reproduction number can be achieved by taking the necessary precautionary measures that prevent the transmission of infection, especially from uninfected virus carriers. The existence of time delay in implementing the quarantine strategy and the threshold values of the time delay that keeping the stability of the system are established. Also, it is found that keeping the infected people quarantined immediately is very important in combating and controlling the spread of the disease. Also, for special cases of the system parameters, the time delay can not affect the asymptotic behavior of the disease. Finally, numerical simulations have been illustrated to validate the theoretical analysis of the proposed model.

Discrete-time COVID-19 epidemic model with chaos, stability and bifurcation

“…For instance, Refs. [7] , [8] , [9] , [10] , [11] , [12] , [13] are quoted here few newly developed mathematical models regarding the COVID-19 pandemic. Refs.…”

“…Refs. [7] , [8] , [9] , [10] , [11] , [12] , [13] and more study show that various authors predict the case of this disease using mathematical models that represent systems of difference or differential equations. In addition, based on date analysis and mathematical analysis, authors have explored the effect of lockdown and medical resources on the COVID-19 transformation in Wuhan, China.…”

“…Hikal et al. [8] studied the existence of time delay in implementing the quarantine strategy and the threshold values of the time delay that keeping the stability of the system of following continuous-time COVID-19 epidemic model: where and are respectively denote susceptible, exposed, infected, quarantined and recovered individuals. The parameter is new birth rate, natural death rate is , is the rate for which moved to , denotes transmission rates of and respectively, and respectively denote death rates of infected population without and with quarantined.…”

Fractional order mathematical model for B.1.1.529 SARS-Cov-2 Omicron variant with quarantine and vaccination

“…We have constructed a fractional Omicron mathematical model in this research. The existence, uniqueness, and positivity of the solution are also deduced for the proposed Caputo-type fractional Omicron mathematical model by referring [31][32][33][34][35]. The paper is formulated as follows: In Sect.…”