Numerical approximation of population growth in an autonomous system through a fourth-stage geometric mean-based explicit Runge-Kutta method
by Vijeyata Chauhan; Pankaj Kumar Srivastava
International Journal of Computing Science and Mathematics (IJCSM), Vol. 17, No. 3, 2023

Abstract: The future prediction of population numbers is an important factor in effectively managing the population models. A rise of pandemics like Covid-19 and its mutated versions have enhanced the need of standard numerical prediction method. The proposed study introduces a tetra geometric mean based explicit fourth order Runge-Kutta method to deal with population growth autonomous system which arises in population dynamics or economic industries or in chemical reactions or in biological growth models etc. In present study, two such numerical problems based on transmission of infectious disease have been solved. A one step explicit Runge-Kutta based numerical technique has been developed to solve such differential equation models. The convergence establishment of the developed method boosted the effectiveness of the proposed scheme. Through pandemics based numerical illustrations, the proposed method is examined and compared with other competing methods and that is found more amiable than other fourth order methods.

Online publication date: Tue, 13-Jun-2023

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