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Research Journal of Pharmacy and Technology
Year : 2016, Volume : 9, Issue : 10
First page : ( 1717) Last page : ( 1726)
Print ISSN : 0974-3618. Online ISSN : 0974-360X.
Article DOI : 10.5958/0974-360X.2016.00346.2

Influence of spatiotemporal and noise on dynamics of a two species commensalism model with optimal harvesting

Kumar G Basava*, Srinivas M N**

School of Advanced Sciences, VIT University, Vellore, Tamil Nadu, India

*Corresponding authors Email: basavakumarg@gmail.com

**mnsrinivaselr@gmail.com

Online published on 2 March, 2017.

Abstract

The focus of study is on the dynamics of interaction between commensal and host species in an aquatic ecological system with harvesting, diffusion and stochastic attributes. All possible equilibrium points of the system are identified. The stability both local and global of the commensal-host system has been examined around the interior equilibrium point. The possibility of existence of bio-economic equilibrium is discussed. The optimal harvesting levels are identified. The role of diffusion parameters on stability is analysed. We provided the analytical estimates of the population intensities of fluctuations of the system with Gaussian white noise perturbations by applying Fourier transform technique. Some numerical simulations are also carried out to make lawful the analysis.

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Keywords

Commensal-host, stability, bionomic harvesting, optimal harvesting, diffusion, white noise.

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