Existence and stability of periodic solutions of an impulsive differential equation and application to CD8 T-cell differentiation

DOI10.1007/s00285-018-1220-3zbMath1394.34090arXiv1803.01674OpenAlexW2963813924WikidataQ50532999 ScholiaQ50532999MaRDI QIDQ1750651

Simon Girel, Fabien Crauste

Publication date: 22 May 2018

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01674

zbMATH Keywords

impulsive differential equationimmune responsecellular differentiationflow convexityunequal partitioning

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) Cell biology (92C37) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (5)

Periodic averaging method for impulsive stochastic dynamical systems driven by fractional Brownian motion under non-Lipschitz condition ⋮ Impulsive stochastic Volterra integral equations driven by Lévy noise ⋮ On the network suppression of the pathogen spread within the healthcare system ⋮ Periodic averaging method for impulsive stochastic differential equations with Lévy noise ⋮ Averaging principle for neutral stochastic functional differential equations with impulses and non-Lipschitz coefficients

Cites Work

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• An impulsive periodic predator-prey system with Holling type III functional response and diffusion
• Multiple time scale dynamics
• Mathematical models for CFSE labelled lymphocyte dynamics: asymmetry and time-lag in division
• Modeling the effects of augmentation strategies on the control of dengue fever with an impulsive differential equation
• Oscillation and stability of linear impulsive delay differential equations
• Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
• Density-dependent birth rate, birth pulses and their population dynamic consequences
• Existence and global attractivity of positive periodic solution of periodic single-species impulsive Lotka-Volterra systems
• Global attractivity of positive periodic solutions for an impulsive delay periodic model of respiratory dynamics
• Existence and global attractivity of positive periodic solution for an impulsive Lasota--Wazewska model
• Existence of periodic solutions, global attractivity and oscillation of impulsive delay population model
• Existence and global attractivity of a periodic solution for an impulsive delay differential equation with Allee effect
• On the Dynamics of an Impulsive Model of Hematopoiesis

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