Global Stability of COVID-19 Model: A Case Study of Nepal

Authors

  • Gauri Bhuju Bhaktapur Multiple Campus, Bhaktapur, Nepal
  • Ganga Ram Phaijoo School of Science Kathmandu University, Dhulikhel, Nepal
  • Dil Bahadur Gurung School of Science Kathmandu University, Dhulikhel, Nepal

DOI:

https://doi.org/10.3126/jnms.v3i2.33954

Keywords:

COVID-19, Compartmental model, Basic reproduction number, Global stability, Lyapunov function

Abstract

COVID-19 (Corona Virus Disease) is continuously spreading all over the world from January 2020. It has been the major public health concern worldwide. In Nepal, the confirmed cases of the dis ease are increasing day by day. Mathematical modeling is one of the best tool to study the transmission dynamics of COVID - 19. In the present work, the transmission dynamics of COVID - 19 in Nepal with isolation is studied by using epidemic compartmental model. The global stability of the equilibrium points of the model are discussed with Lyapunov function. The stability of the disease is dependent on both trans- mission rate of the disease and the progression rate of the infectious state to isolated or hospitalized state. Simulations are made to observe situation of the disease in Nepal using the mathematical results graphically.

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Author Biographies

Gauri Bhuju, Bhaktapur Multiple Campus, Bhaktapur, Nepal

Department of Mathematics

Ganga Ram Phaijoo, School of Science Kathmandu University, Dhulikhel, Nepal

Department of Mathematics

Dil Bahadur Gurung, School of Science Kathmandu University, Dhulikhel, Nepal

Department of Mathematics

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Published

2020-12-30

How to Cite

Bhuju, G., Phaijoo, G. R., & Gurung, D. B. (2020). Global Stability of COVID-19 Model: A Case Study of Nepal. Journal of Nepal Mathematical Society, 3(2), 1–12. https://doi.org/10.3126/jnms.v3i2.33954

Issue

Vol. 3 No. 2 (2020)

Section

Articles

License

© Nepal Mathematical Society