The application of equivalent linearization and correction factor techniques to selected predator-prey equations

DOI10.1016/0025-5564(79)90008-7zbMath0416.92013OpenAlexW2007761120WikidataQ115599922 ScholiaQ115599922MaRDI QIDQ754809

A. C. Soudack, J. R. Brearley

Publication date: 1979

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(79)90008-7

zbMATH Keywords

simulationapproximate analytical solutionsequivalent linearizationcorrection factor techniquesphysical ecological systemspredator-prey type systemssystem of ordinary nonlinear differential equations

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34) Population dynamics (general) (92D25) Ecology (92D40)

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The application of equivalent linearization and correction factor techniques to selected predator-prey equations

Cites Work

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• The application of equivalent linearization and correction factor techniques to selected predator-prey equations
• Application of perturbation theory to the nonlinear Volterra-Gause-Witt model for prey-predator interaction
• Constant rate population harvesting: Equilibrium and stability
• Stabilization and de-stabilization of predator-prey systems under harvesting and nutrient enrichment
• Generalized Verhulst Laws for Population Growth
• Global Models of Growth and Competition

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