Turkish Journal of Computer and Mathematics Education
Journal license

Journal

Turkish Journal of Computer and Mathematics Education


Volume
& Issue

Volume 11, Issue 3


Published
on


Pages

2474-2483


DOI

Article

Effect of Ecological Fluctuations on a Commensal-Host Model with Harvesting


Authors

G. y. Sagar* Affiliation:
Department of Statistics, College of Natural and Computational Sciences, Gambella University, Ethiopia
and N. Phani Kumar Affiliation:
Professor, Department of Mathematics, Vignan Institute of Technology and Science, Hyderabad, India


Abstract

The focus of this study is the dynamics of interaction between commensal and host species in an aquatic ecological system with harvesting, and stochastic attributes. The progress and the stability of the system, as well as the dynamics of the commensal host relationship are examined. The stabilities at steady states are also examined. We discuss the possible harvesting strategies described by the various attributes. The possibility of existence of bio-economic equilibrium with optimal scheme is being discussed. We provided the analytical estimates of the population intensities of fluctuations by Fourier transform methods through stochastic perturbation. Some numerical simulations are also carried out to make lawful the analysis.


Keywords

Commensal-Host, steady states, Routh-Hurwitz criteria, Global stability, Bionomic harvesting, optimal harvesting, Pontriyagin's principle, Stochastic


Citation

Sagar, G. Y. & Kumar, N. P. (2020). Effect of ecological fluctuations on a commensal-host model with harvesting. Turkish Journal of Computer and Mathematics Education, 11(3), 2474–2483.

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