Impact of harvesting on a bioeconomic predator-prey fishery model subject to environmental toxicant

DOI10.1007/s11538-019-00627-8zbMath1417.92122OpenAlexW2952065289WikidataQ92763736 ScholiaQ92763736MaRDI QIDQ2002136

Tau Keong Ang, Zlatko Jovanoski, Hamizah M. Safuan, Isaac N. Towers, Harvinder S. Sidhu

Publication date: 11 July 2019

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-019-00627-8

zbMATH Keywords

predator-preyharvestingoptimal harvesting policybionomic equilibriumtoxicantbiotechnical productivity

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76)

Related Items (5)

Demand-induced regime shift in fishery: a mathematical perspective ⋮ Bifurcation analysis of a delayed diffusive predator-prey model with spatial memory and toxins ⋮ Unnamed Item ⋮ Bioeconomics fishery model in presence of infection: sustainability and demand-price perspectives ⋮ Unnamed Item

Uses Software

• Matlab
• XPPAUT

Cites Work

• Stability and bifurcation analysis in a predator-prey system with Michaelis-Menten type predator harvesting
• Selective harvesting in a prey-predator fishery with time delay
• Optimal control of effort of a stage structured prey-predator fishery model with harvesting
• Predator-prey interaction with harvesting: mathematical study with biological ramifications
• The impact of environmental toxins on predator-prey dynamics
• Harvesting of a prey-predator fishery in the presence of toxicity
• Analyses of bifurcations and stability in a predator-prey system with Holling type-IV functional response
• A model for the impact of contaminants on fish population dynamics
• Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response
• BIFURCATIONS OF A HOLLING-TYPE II PREDATOR–PREY SYSTEM WITH CONSTANT RATE HARVESTING
• Coexistence Region and Global Dynamics of a Harvested Predator-Prey System
• Optimal harvesting of a prey–predator model with variable carrying capacity
• Stability and optimal harvesting of a prey-predator model with stage structure for predator
• A New Formulation of the Theorems of Hurwitz, Routh and Sturm

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