A new class of differential equations with impulses at instants dependent on preceding pulses. Applications to management of renewable resources

DOI10.1016/j.nonrwa.2012.01.026zbMath1257.34034OpenAlexW2053120632MaRDI QIDQ1926204

Manuel Pinto, Fernando Córdova-Lepe, Eduardo González-Olivares

Publication date: 28 December 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2012.01.026

zbMATH Keywords

stabilitycontrolperiodic solutionsimpulsive differential equationsrenewable resourcesbioeconomics

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (6)

Periodic boundary value problems for nonlinear impulsive evolution equations on Banach spaces ⋮ Second order BVPs with state dependent impulses via lower and upper functions ⋮ A pulse fishery model with closures as function of the catch: conditions for sustainability ⋮ 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 ⋮ Stability analysis of a self‐cycling fermentation model with state‐dependent impulse times

Cites Work

• A pulse fishery model with closures as function of the catch: conditions for sustainability
• Discontinuous local semiflows for Kurzweil equations leading to LaSalle's invariance principle for differential systems with impulses at variable times
• Solvability of impulsive neutral evolution differential inclusions with state-dependent delay
• Variational approach to impulsive differential equations
• The existence of viable trajectories in state-dependent impulsive systems
• Qualitative analysis of a modified Leslie-Gower and Holling-type II predator-prey model with state dependent impulsive effects
• The dynamics of an epidemic model for pest control with impulsive effect
• Dynamic analysis of an SIR epidemic model with state dependent pulse vaccination
• A PULSE VACCINATION STRATEGY AT VARIABLE TIMES DEPENDING ON INCIDENCE
• Stability of impulsive delay differential equations with impulses at variable times
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