Asymptotic behavior for a class of population dynamics
Chuangxia Huang, Luanshan Yang, Jinde Cao
Abstract
This paper investigates the asymptotic behavior for a class of n-dimensional population dynamics systems described by delay differential equations. With the help of technique of differential inequality, we show that each solution of the addressed systems tends to a constant vector as <i>t</i> → ∞, which includes many generalizations of Bernfeld-Haddock conjecture. By the way, our results extend some existing literatures.
Topics & Concepts
Class (philosophy)ConjectureDynamics (music)Constant (computer programming)MathematicsPopulationApplied mathematicsDifferential equationDifferential (mechanical device)Mathematical analysisPure mathematicsComputer sciencePhysicsArtificial intelligenceThermodynamicsDemographySociologyProgramming languageAcousticsMathematical and Theoretical Epidemiology and Ecology ModelsNonlinear Differential Equations AnalysisAdvanced Differential Equations and Dynamical Systems