On the necessity of proper quarantine without lock down for 2019-nCoV in the absence of vaccine

Prasanta Sahoo; Himadri S Mondal; Zakia Hammouch; Thabet Abdeljawad; Dwaipayan Mishra; Motahar Reza

doi:10.1016/j.rinp.2021.104063

On the necessity of proper quarantine without lock down for 2019-nCoV in the absence of vaccine

Results Phys. 2021 Jun:25:104063. doi: 10.1016/j.rinp.2021.104063. Epub 2021 Apr 13.

Authors

Prasanta Sahoo¹, Himadri S Mondal¹, Zakia Hammouch^{2

3

4}, Thabet Abdeljawad^{5

3

6}, Dwaipayan Mishra¹, Motahar Reza⁷

Affiliations

¹ Department of Mathematics, Midnapore College (Autonomous), Midnapore 721 101, West Bengal, India.
² Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Viet Nam.
³ Department of Medical Research, China Medical University Hospital, Taichung 40402, Taiwan.
⁴ Département des Sciences, École Normale supérieure, Moulay Ismail University of Meknès, 50000, Morocco.
⁵ Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia.
⁶ Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan.
⁷ Department of Mathematics, GITAM Deemed to be University, Hyderabad 502329, India.

Abstract

Presently the world is passing through a critical phase due to the prevalence of the Novel Corona virus, 2019-nCoV or COVID-19, which has been declared a pandemic by WHO. The virus transmits via droplets of saliva or discharge from the nose when an infected person coughs or sneezes. Due to the absence of vaccine, to prevent the disease, social distancing and proper quarantine of infected populations are needed. Non-resident citizens coming from several countries need to be quarantined for 14 days prior to their entrance. The same is to be applied for inter-state movements within a country. The purpose of this article is to propose mathematical models, based on quarantine with no lock down, that describe the dynamics of transmission and spread of the disease thereby proposing an effective preventive measure in the absence of vaccine.

Keywords: Diffusion model; Epidemic model; Phase plane analysis; Re-parametrisation; Reproductive rate; Wave speed.