Modeling and transmission dynamics of Zika virus through efficient numerical method
Source abstract
Abstract
Zika virus infection is a vastly transmitted disease among humans. It was carried worldwide by international travelers. In 2016, Zika virus infection was present in more than 20 countries and territories in America. Thousands of cases were diagnosed in Cabo Verde, western Africa. Fifty-seven regions suffered from Zika virus in 2020, and the World Health Organization reported more than one hundred thousand cases worldwide. In this work, the modeling and transmission dynamics of Zika virus are studied dynamically and numerically. Positivity, boundedness, reproduction number, equilibria, and local stability are part of the numerical analysis. New nonstandard numerical techniques are examined for the said model. The primary purpose is to maintain the continuous model’s behavior and dynamical properties. The proposed nonstandard finite approximation is studied according to the consistency and local stability of the solutions. Some numerical examples clearly show the improvement of the new schemes compared to other well-known methods.
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Research context
OpenAlex topics: Mathematical and Theoretical Epidemiology and Ecology Models · COVID-19 epidemiological studies · Evolution and Genetic Dynamics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University 1 , P.O. Box 84428, Riyadh 11671, Saudi Arabia
Department of Computer Science and Mathematics, Lebanese American University 2 , Beirut, Lebanon
Department of Mathematics, Government Maulana Zafar Ali Khan Graduate College Wazirabad, Higher Education Department, Government of Punjab 3 , Lahore 54000, Pakistan
Department of Physical Sciences, The University of Chenab 4 , Gujrat, 50700, Pakistan
Department of Applied Mathematics, Institute of Fundamental Physics and Mathematics, Universidad de Salamanca 5 , 37008 Salamanca, Spain
Institute of Space Sciences 6 , Magurele-Bucharest 077125, Romania
Department of Mathematics, Faculty of Science and Technology, University of Central Punjab 7 , Lahore 54000, Pakistan
Department of Mathematics and Statistics, University of Lahore 8 , Lahore 54590, Pakistan
Funding
Princess Nourah Bint Abdulrahman University
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