ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Stability Analysis of SIQS Mathematical Model for Pandemic Coronavirus Spread

Journal of Applied Nonlinear Dynamics 11(3) (2022) 591--603 | DOI:10.5890/JAND.2022.09.006

Vinay Verma

Faculty of Mathematical and Statistical Sciences, Institute of Natural Sciences and Humanities, Shri Ramswaroop

Memorial University, Lucknow Deva Road, Barabanki Uttar Pradesh-225003, India

Abstract

In this paper, we approach conceptual mathematical models for COVID-19 eruption and it's abstinence metering; quarantine. In this circumstance, mathematical models are a grandly tool to make use of an impressive strategy in order to fight against this pandemic. We define the positivity, boundedness of solutions and basic reproduction number. Then, we study local and global stability analysis of equilibrium to examine its epidemiological relevance. Our model represent the various transmission route in the infection dynamics, and diligence the role of the environmental reservoir in the transmission and dispersion of this disease. Simulation explication of the model ratify to the analytical results.

Acknowledgments

The author are thankful to the handling editor and anonymous both the referees for their useful comments and suggestions, which have improved the quality of this paper.

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