Harvesting of a predator-prey model with reserve area for prey and in the presence of toxicity

DOI10.1007/s12190-016-0989-8zbMath1360.34114OpenAlexW2263059326WikidataQ115601644 ScholiaQ115601644MaRDI QIDQ513541

Hang Yang, Jianwen Jia

Publication date: 7 March 2017

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

Full work available at URL: https://doi.org/10.1007/s12190-016-0989-8

zbMATH Keywords

stabilityequilibriapredator-prey systemoptimal 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) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (8)

EXTINCTION AND PERSISTENCE OF A HARVESTED PREY–PREDATOR MODEL INCORPORATING GROUP DEFENCE AND DISEASE IN PREY: SPECIAL EMPHASIS ON STOCHASTIC ENVIRONMENT ⋮ Bifurcation analysis of a delayed diffusive predator-prey model with spatial memory and toxins ⋮ Dynamical behavior of prey–predator system with reserve area and quadratic harvesting of prey ⋮ Effects of additional food on the dynamics of a three species food chain model incorporating refuge and harvesting ⋮ Dynamics of a predator-prey model with harvesting and reserve area for prey in the presence of competition and toxicity ⋮ Sustainability of orange roughy population ⋮ Fractional order prey-predator model with infected predators in the presence of competition and toxicity ⋮ DYNAMICS OF A PREDATOR–PREY MODEL WITH CROWLEY–MARTIN FUNCTIONAL RESPONSE, REFUGE ON PREDATOR AND HARVESTING OF SUPER-PREDATOR

Cites Work

• Asymptotically periodic solution and optimal harvesting policy for Gompertz system
• Harvesting of a phytoplankton-zooplankton model
• A prey-predator model with harvesting for fishery resource with reserve area
• Top-predator interference and gestation delay as determinants of the dynamics of a realistic model food chain
• Global dynamics of a predator, weaker prey and stronger prey system
• Hopf bifurcation and global stability for a delayed predator-prey system with stage structure for predator
• 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
• Stability and optimal harvesting of a prey-predator model with stage structure for predator

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