Dynamics of a predator-prey model with harvesting and reserve area for prey in the presence of competition and toxicity

DOI10.1007/s12190-018-1181-0zbMath1422.34150OpenAlexW2794844956WikidataQ115601612 ScholiaQ115601612MaRDI QIDQ2317409

Younes Louartassi, A. Nabil, Khalid Hattaf, Abdellah Alla

Publication date: 9 August 2019

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-018-1181-0

zbMATH Keywords

stabilitycompetitionpredator-prey modeloptimal harvesting policytoxicity

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Existence theories for optimal control problems involving ordinary differential equations (49J15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (6)

Well-posedness of a ratio-dependent Lotka-Volterra system with feedback control ⋮ Optimal harvesting for a predator‐prey system with age structure and reserve area ⋮ Effect of toxicant on the dynamics of a delayed diffusive predator-prey model ⋮ Traveling wave phenomena in a nonlocal dispersal predator-prey system with the Beddington-DeAngelis functional response and harvesting ⋮ Unnamed Item ⋮ Fractional order prey-predator model with infected predators in the presence of competition and toxicity

Cites Work

• Harvesting of a predator-prey model with reserve area for prey and in the presence of toxicity
• Asymptotically periodic solution and optimal harvesting policy for Gompertz system
• Harvesting of a phytoplankton-zooplankton model
• Global dynamics of a predator, weaker prey and stronger prey system
• Harvesting of a prey-predator fishery in the presence of toxicity
• A model for fishery resource with reserve area
• Modeling and analysis of a two-zooplankton one-phytoplankton system in the presence of toxicity
• Harvesting in a two-prey one-predator fishery: a bioeconomic model
• Unnamed Item

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