Simulation of predator–prey system with two-species, two chemicals and an additional chemotactic influence via direct meshless local Petrov–Galerkin method
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 16 May 2023
Issue publication date: 22 June 2023
Abstract
Purpose
This paper aims to introduce a new numerical approach based on the local weak form and the Petrov–Galerkin idea to numerically simulation of a predator–prey system with two-species, two chemicals and an additional chemotactic influence.
Design/methodology/approach
In the first proceeding, the space derivatives are discretized by using the direct meshless local Petrov–Galerkin method. This generates a nonlinear algebraic system of equations. The mentioned system is solved by using the Broyden’s method which this technique is not related to compute the Jacobian matrix.
Findings
This current work tries to bring forward a trustworthy and flexible numerical algorithm to simulate the system of predator–prey on the nonrectangular geometries.
Originality/value
The proposed numerical results confirm that the numerical procedure has acceptable results for the system of partial differential equations.
Keywords
Acknowledgements
The authors are very grateful to the reviewers for carefully reading this paper and for their comments and suggestions which have improved the paper.
Author contributions: All authors contributed to writing, review and editing.
Data availability statement: No data associated in the manuscript.
Conflict of interest: The authors declare that they have conflict of interest.
Citation
Abbaszadeh, M., Bagheri Salec, A. and Salman Alwan, A. (2023), "Simulation of predator–prey system with two-species, two chemicals and an additional chemotactic influence via direct meshless local Petrov–Galerkin method", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33 No. 8, pp. 2730-2756. https://doi.org/10.1108/HFF-01-2023-0011
Publisher
:Emerald Publishing Limited
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