Qualitative analysis and applications of a kind of state-dependent impulsive differential equations

DOI10.1016/j.cam.2007.05.005zbMath1146.34006OpenAlexW2035234086MaRDI QIDQ2483353

Guoping Pang, Fengyan Wang, Lan-Sun Chen

Publication date: 28 April 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.05.005

zbMATH Keywords

asymptotic stability\(k\)th-order periodic solutionimpulsive semi-dynamical systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (5)

Investigation of solutions of state-dependent multi-impulsive boundary value problems ⋮ Existence principle for higher-order nonlinear differential equations with state-dependent impulses via fixed point theorem ⋮ Fixed point problem associated with state-dependent impulsive boundary value problems ⋮ A constructive approach to boundary value problems with state-dependent impulses ⋮ Dynamic behaviors of a modified predator-prey model with state-dependent impulsive effects

Cites Work

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• Integrated pest management models and their dynamical behaviour
• Existence of periodic solutions of nonlinear systems of differential equations with impulse effect
• An invariance principle for nonlinear hybrid and impulsive dynamical systems.
• Optimal impulsive harvesting policy for single population
• Optimization problems for one-impulsive models from population dynamics
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• Stability results for impulsive differential systems with applications to population growth models

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