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

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.