The dynamics of pasture-herbivores-carnivores with sigmoidal density dependent harvesting

DOI10.1007/s11538-023-01210-yzbMath1527.92034MaRDI QIDQ6078302

Evgenii Burlakov, Harald Bergland, John A. Wyller

Publication date: 24 October 2023

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

zbMATH Keywords

Hopf bifurcationspredator-prey modelsrelaxation oscillationsnonlinear dynamical systems theorysaddle node bifurcationsexistence and stability of equilibrium states

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Ecology (92D40)

Cites Work

• Bifurcation analysis in a predator-prey model with constant-yield predator harvesting
• Relationship between exploitation, oscillation, MSY and extinction
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Maximum sustainable yields in systems subject to harvesting at more than one trophic level
• Mathematical biology. Vol. 1: An introduction.
• A new detecting method for conditions of existence of Hopf bifurcation
• Explicit impacts of harvesting in delayed predator-prey models
• Neural network firing-rate models on integral form
• Possible ecosystem impacts of applying maximum sustainable yield policy in food chain models
• Stochastic differential equations. An introduction with applications.
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