### AIMS Public Health

2020, Issue 3: 587-605. doi: 10.3934/publichealth.2020047
Research article Special Issues

# Global stability of COVID-19 model involving the quarantine strategy and media coverage effects

• Received: 02 June 2020 Accepted: 29 July 2020 Published: 03 August 2020
• In this paper, we build and analyze a mathematical model of COVID-19 transmission considering media coverage effects. Due to transmission characteristics of COVID-19, we can divided the population into five classes. The first class describes the susceptible individuals, the second class is exposed individuals, the third class is infected individuals, the fourth class is quarantine class and the last class is recovered individuals. The existence, uniqueness and boundedness of the solutions of the model are discussed. The basic reproduction number 0 is obtained. All possible equilibrium points of the model are investigated and their local stability is discussed under some conditions. The disease-free equilibrium is local asymptotically stable when 0<1 and unstable when 0>1. The globally asymptotical stability of all point is verified by Lyapunov function. Finally, numerical simulations are carried out to confirm the analytical results and understand the effect of varying the parameters on spread of COVID-19. These findings suggested that media coverage can be considered as an effective way to mitigate the COVID-19 spreading.

Citation: Ahmed A Mohsen, Hassan Fadhil AL-Husseiny, Xueyong Zhou, Khalid Hattaf. Global stability of COVID-19 model involving the quarantine strategy and media coverage effects[J]. AIMS Public Health, 2020, 7(3): 587-605. doi: 10.3934/publichealth.2020047

### Related Papers:

• In this paper, we build and analyze a mathematical model of COVID-19 transmission considering media coverage effects. Due to transmission characteristics of COVID-19, we can divided the population into five classes. The first class describes the susceptible individuals, the second class is exposed individuals, the third class is infected individuals, the fourth class is quarantine class and the last class is recovered individuals. The existence, uniqueness and boundedness of the solutions of the model are discussed. The basic reproduction number 0 is obtained. All possible equilibrium points of the model are investigated and their local stability is discussed under some conditions. The disease-free equilibrium is local asymptotically stable when 0<1 and unstable when 0>1. The globally asymptotical stability of all point is verified by Lyapunov function. Finally, numerical simulations are carried out to confirm the analytical results and understand the effect of varying the parameters on spread of COVID-19. These findings suggested that media coverage can be considered as an effective way to mitigate the COVID-19 spreading.

Acknowledgment

The authors thankful to acknowledge the reviewers for their valuable suggestions and comments. Which have contributed to the improvement of the authors work.

Conflict of interest

The authors declare no conflicts of interest.

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• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142

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