On the existence and stability of periodic solutions in the absence of immunity in an impulsive model based on Gompertzian dynamics

DOI10.1007/S10559-012-9438-3zbMath1317.34170OpenAlexW2017396444MaRDI QIDQ2263209

I. S. Gvozdetska, V. P. Martsenyuk

Publication date: 18 March 2015

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-012-9438-3

zbMATH Keywords

stabilityimpulsive differential equationsimmunitysystems with delay

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Cell biology (92C37) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (1)

Using differential equations with time delay on a hexagonal lattice for modeling immunosensors

Cites Work

• Estimating the solutions in the model of antitumor immunity with impulsive disturbances
• Construction and study of stability of an antitumoral immunity model
• ANALYSIS OF STABILITY AND PERSISTENCE IN A RATIO-DEPENDENT PREDATOR-PREY RESOURCE MODEL
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