SIAM Journal on Applied Mathematics · 1995 · 518 citations · 18 references
Natural SciencesMathematicsDynamical SystemsControl Of Dynamical SystemsControl TheoryPredator-prey InteractionsStabilityStability TheoryDynamical Systems StabilityEquilibriumGlobal StabilityGlobal Stability AnalysisLyapunov StabilityPredator - Prey DynamicsPredator-prey DynamicsPredator-prey Models
This paper deals with the question of global stability of the positive locally asymptotically stable equilibrium in a class of predator-prey systems. The Dulac’s criterion is applied and Liapunov functions are constructed to establish the global stability.
18
Ordinary Differential Equations.
Ray Redheffer, Jack K. Hale · American Mathematical Monthly · 1971 · 2.2K citations
The Kinetics of Functional Response
Leslie A. Real · The American Naturalist · 1977 · 490 citations
Life Sciences, Ecology, Zoology +12
The Stability and the Intrinsic Growth Rates of Prey and Predator Populations
James T. Tanner · Ecology · 1975 · 433 citations
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