Global attractivity for impulsive population dynamics with delay arguments

DOI10.1016/j.na.2009.04.030zbMath1190.34104OpenAlexW2029603736MaRDI QIDQ732575

Jurang Yan

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.030

zbMATH Keywords

global attractivityimpulsive delay equationpopulation dynamics

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (6)

Explicit conditions for stability of nonlinear scalar delay impulsive difference equation ⋮ Global positive periodic solutions for periodic two-species competitive systems with multiple delays and impulses ⋮ Multiple positive periodic solutions for functional differential equations with impulses and a parameter ⋮ Effect of impulsive controls in a model system for age-structured population over a patchy environment ⋮ Global positive periodic solutions of generalized \(n\)-species Gilpin-Ayala delayed competition systems with impulses ⋮ Existence of positive periodic solutions for a nonautonomous neutral delay n-species competitive model with impulses

Cites Work

• Delay differential equations: with applications in population dynamics
• Existence and continuability of solutions for differential equations with delays and state-dependent impulses
• Explicit conditions of exponential stability for a linear impulsive delay differential equation
• Global attractivity in scalar delayed differential equations with applications to population models.
• The existence of periodic solutions of the \(n\)-species Lotka-Volterra competition systems with impulsive
• The dynamics of an infectious disease in a population with birth pulses
• Stability theorem for delay differential equations with impulses
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