Stable Self-Oscillatory Regimes in Volterra Models of Three Populations

T. E. Buriev () and V. E. Ergashev ()
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T. E. Buriev: Samarkand State University, Department of differential equations and mathematical physics
V. E. Ergashev: Samarkand State University, Department of differential equations and mathematical physics

A chapter in Computer Algebra in Scientific Computing, 2000, pp 81-85 from Springer

Abstract: Abstract For two models of the quantitative dynamics of a predatorprey system such as the generalized three-dimensional Lotka-Voltterra models the existence of the stable self-oscillatory regimes of behavior is investigated basing on qualitative and bifurcation theories as well as on computer experiment.

Keywords: Equilibrium Point; Intraspecific Competition; Bifurcation Theory; Generalize Substitution; Stable Limit Cycle (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-57201-2_8

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DOI: 10.1007/978-3-642-57201-2_8

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