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A general dynamical model of one consumer -- one resource interactions

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Publication:1174285
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DOI10.1007/BF00160230zbMath0741.92021WikidataQ113910307 ScholiaQ113910307MaRDI QIDQ1174285

Richard R. Vance

Publication date: 25 June 1992

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


zbMATH Keywords

limit cycleequilibriumone consumer -- one resource model


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ecology (92D40)


Related Items

Remark on the dissipativity of an \(N\) prey - one predator system ⋮ Model of neo-Malthusian population anticipating future changes in resources



Cites Work

  • Uniqueness of limit cycles in Gause-type models of predator-prey systems
  • Global stability of predator-prey interactions
  • On global stability of a predator-prey system
  • Boundedness of solutions of predator-prey systems
  • The dynamics of two interacting populations
  • Stability theory for ordinary differential equations
  • Uniqueness of a Limit Cycle for a Predator-Prey System
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