Isolation Effect on Age-Stratified Compartmental Model of the COVID-19

Islam, M. D. Shahidul; Ariful Kabir, K. M.; Irana Ira, Jannatun; Al Mobin, Mahadee; Biswas, Md. Haider Ali; Kumar Gupta, Praveen

Isolation Effect on Age-Stratified Compartmental Model of the COVID-19

Document Type : Original Article

Authors

¹ Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh

² Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh

³ Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh

⁴ Department of Mathematics, National Institute of Technology, Silchar-788010, Assam, India

Abstract

Focusing on the dynamics of the most recent outbreak of COVID-19, we formulate an age distributed model with five different components in terms of nonlinear partial differential equations. The model has been analyzed by studying the stability of the equilibrium points and their reproduction number. To explore the disease effect on different ages more efficiently, we apply the recent estimated data in the formulated model and analyze it numerically. From the model’s numerical solution profiles, we observed more susceptibility and infection among the older population. Also studied the effectiveness of isolation in controlling illness and death.

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