Dynamics and Stability of Systems · 1994 · 153 citations · 5 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsControl Of Dynamical SystemsControl TheoryPopulation DynamicsPopulation GrowthPopulation Growth DynamicsStability TheoryDynamic Stability CriteriaImpulsive ControlImpulsive SystemsPopulation Growth Models
Abstract This paper establishes some stability criteria for impulsive differential systems. It is shown that impulses do contribute to yield stability properties even when the corresponding differential system without impulses does not enjoy any stability behavior. As an application, these results are applied to some population growth models
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Deterministic Mathematical Models in Population Ecology
Ryan H. Smith, H. I. Freedman · Biometrics · 1982 · 803 citations
Life Sciences, Biology, Ecology +14
Deterministic Mathematical Models in Population Ecology.
Maynard Thompson, H. I. Freedman · American Mathematical Monthly · 1982 · 473 citations
Life Sciences, Biology, Ecology +14
Lynn Erbe, H. I. Freedman, Xiaoxiao Liu et al. · The Journal of the Australian Mathematical Society Series B Applied Mathematics · 1991 · 124 citations · Full text