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Numerical study of diffusive fish farm system under time noise

Yasin, Muhammad Waqas, Ahmed, Nauman, Saeed, Jawaria, Baber, Muhammad Zafarullah, Ali, Syed Mansoor, Akgül, Ali, Muhammad, Shah, Hassani, Murad Khan, Ali, Mubasher (2024) Numerical study of diffusive fish farm system under time noise. Scientific Reports, 14 (1). Article Number 14711. E-ISSN 2045-2322. (doi:10.1038/s41598-024-62304-8) (KAR id:106431)

Abstract

In the current study, the fish farm model perturbed with time white noise is numerically examined. This model contains fish and mussel populations with external food supplied. The main aim of this work is to develop time-efficient numerical schemes for such models that preserve the dynamical properties. The stochastic backward Euler (SBE) and stochastic Implicit finite difference (SIFD) schemes are designed for the computational results. In the mean square sense, both schemes are consistent with the underlying model and schemes are von Neumann stable. The underlying model has various equilibria points and all these points are successfully gained by the SIFD scheme. The SIFD scheme showed positive and convergent behavior for the given values of the parameter. As the underlying model is a population model and its solution can attain minimum value zero, so a solution that can attain value less than zero is not biologically possible. So, the numerical solution obtained by the stochastic backward Euler is negative and divergent solution and it is not a biological phenomenon that is useless in such dynamical systems. The graphical behaviors of the system show that external nutrient supply is the important factor that controls the dynamics of the given model. The three-dimensional results are drawn for the various choices of the parameters.

Item Type: Article
DOI/Identification number: 10.1038/s41598-024-62304-8
Uncontrolled keywords: Finite difference schemes, Analysis of schemes, Simulations, Stochastic PDEs
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Engineering and Digital Arts
SWORD Depositor: JISC Publications Router
Depositing User: JISC Publications Router
Date Deposited: 10 Jul 2024 15:13 UTC
Last Modified: 05 Nov 2024 13:12 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/106431 (The current URI for this page, for reference purposes)

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