COVID-19 modelling with square root susceptible-infected interaction

Author:

Gul Nadia1,Zeb Anwar2,Djilali Salih3,Ullah Mazz2,Eskandari Zohreh4,Linitda Thitiporn5

Affiliation:

1. Department of Mathematics, Shaheed Benazir Bhutto Women University, Peshawar, Khyber Pakhtunkhwa, Pakistan

2. Department of Mathematics, COMSATS University Islamabad, Abbottabad, Pakistan

3. Faculty of Exact sciences and informatics, Mathematic Department, Hassiba Benbouali University, Chlef, Algeria

4. Department of Mathematical Sciences, Shahrekord University, Shahrekord, Iran

5. Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, Thailand

Abstract

We propose a COVID-19 mathematical model related to functional shape with square root susceptible-infected interaction. Using the Hurwitz criterion and then a graph theoretical-method for the construction of a Lyapunov function, we discuss both local and global stability. The analytical solution of the system is obtained in a special case. A non-standard finite difference scheme is then developed with the aim to obtain a proper discrete-time version of the model. Simulations show a good agreement between the proposed discretization and the results given by standard numerical methods.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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