Equilibria and dynamics in an economic predator-prey model of agriculture

DOI10.1016/0895-7177(94)90012-4zbMath0810.90024OpenAlexW2108941298WikidataQ115598992 ScholiaQ115598992MaRDI QIDQ1334727

S. G. M. Schilizzi, M. Solomonovich, L. P. Apedaille, Herb I. Freedman

Publication date: 25 September 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(94)90012-4

zbMATH Keywords

limit cycleslearningbifurcationecosphereenvironmental economicsstability propertiespredator prey systemslong run trajectoriesopen interacting economic systemssustainable agricultural systems

Mathematics Subject Classification ID

Economic growth models (91B62) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76)

Related Items (4)

An environmental model for the interactions of industry with two competing agricultural resources ⋮ A dynamical economic model of sustainable agriculture and the ecosphere ⋮ Invariant circles and phase portraits of cubic vector fields on the sphere ⋮ Predictability and trapping under conditions of globalization of agricultural trade: An application of the CDS approach

Cites Work

• Persistence in models of three interacting predator-prey populations
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Persistence Definitions and their Connections
• Generalized Predator-Prey Oscillations in Ecological and Economic Equilibrium
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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