Mathematical analysis of epidemic model to assess the impact of lockdown on COVID-19

  • Partha Karmakar Deputy Secretary of West Bengal Board of Primary Education, West Bengal 700091, India
  • Krishna Pada Das Mahadevananda Mahavidyalaya, Department of Mathematics, Monirampore, Kolkata 700120, India
  • Satyajit Saha Department of Applied Sciences and Humanities, Shaheed Bhagat Singh State University, Ferozepur 700141, India
  • Bhagabat Das Techno International, Batanagar 700140, India
  • Rakesh Kumar Department of Applied Sciences and Humanities, Shaheed Bhagat Singh State University, Ferozepur 700141, India
Ariticle ID: 97
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Keywords: COVID-19 epidemic, SEI model, lockdown, stability analysis, non-linear incidence

Abstract

Covid-19 and its variants, have been a worst pandemic, the entire world has witnessed. Tens of millions of cases have been recorded in over 210 countries and territories as part of the ongoing global pandemic that is still going on today. In this paper, we propose a SEI mathematical model to investigate the impact of lockdown to the controlling and spreading of infectious disease COVID-19. The epidemic model incorporates constant recruitment, experiencing infectious force in the latent period and the infected period. The equilibrium states are computed. Under some conditions, results for local asymptotic stability and global stability of disease-free and endemic equilibrium are established by using the stability theory of ordinary differential equations. It is seen that when the basic reproduction number , the dynamical system is stable and diseases die out from the system and when , the disease persists in the dynamical system. When , trans critical bifurcation is appeared. The numerical simulations are carried out to validate the analytical results.

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Published
2023-08-12
How to Cite
Karmakar, P., Das, K. P., Saha, S., Das, B., & Kumar, R. (2023). Mathematical analysis of epidemic model to assess the impact of lockdown on COVID-19. Journal of AppliedMath, 1(2), 97. https://doi.org/10.59400/jam.v1i2.97
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Article