The Journal of Difference Equations and Applications · 2016 · 15 citations · 14 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsStochastic ProcessesBirth-death ProcessesChaos TheoryGrowth TheoryPopulation Growth DynamicsStability TheoryAlmost Periodic SolutionsExponential StabilityGlobal StabilityGlobal Stability AnalysisNeoclassical Growth ModelNeoclassical Growth TheoryPeriodic Solutions Of Differential EquationsStability Of Delay Differential Equations
This paper is concerned with a non-autonomous delayed differential neoclassical growth model with an oscillating death rate. Under proper conditions, we employ a novel argument to establish a criterion on the existence and global exponential stability of positive pseudo almost periodic solution, which improves and extends some known relevant results. Finally, we present an example along with its numerical simulations to demonstrate the validity of the proposed result.
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Ordinary Differential Equations.
Ray Redheffer, Jack K. Hale · American Mathematical Monthly · 1971 · 2.2K citations