Ecological dynamics of age selective harvesting of fish population: Maximum sustainable yield and its control strategy. (December 2016)

• Record Type: Journal Article
• Authors: Jana, Debaldev; Agrawal, Rashmi; Upadhyay, Ranjit Kumar; Samanta, G.P.
• Is Part Of: Chaos, solitons and fractals. Volume 93(2016)
• Page Start: 111
• Page End: 122
• Publication Date: 2016-12
• Subjects: Age selective harvesting -- Maximum sustainable yield -- Bionomic equilibrium -- Optimal harvesting; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2016.09.021
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: Age-selective harvesting of prey and predator are considered by multi-delayed prey-predator system. System experiences stable coexistence to oscillatory mode and vice versa via Hopf-bifurcation depending upon the parametric restrictions. MSY, bionomic equilibrium and optimal harvesting policy are also depending upon the age-selection of prey and predator. All the analytic results are delay dependent. Numerical examples support the analytical findings. Abstract: Life history of ecological resource management and empirical studies are increasingly documenting the impact of selective harvesting process on the evolutionary stable strategy of both aquatic and terrestrial ecosystems. In the present study, the interaction between population and their independent and combined selective harvesting are framed by a multi-delayed prey-predator system. Depending upon the age selection strategy, system experiences stable coexistence to oscillatory mode and vice versa via Hopf-bifurcation. Economic evolution of the system which is mainly featured by maximum sustainable yield (MSY), bionomic equilibrium and optimal harvesting vary largely with the commensurate age selections of both population because equilibrium population abundance becomes age-selection dependent. Our study indicates that balance between harvesting delays and harvesting intensities should be maintained for better ecosystem management. Numerical examples support the analytical findings.