Periodic solutions of angiogenesis models with time lags

DOI10.1016/j.nonrwa.2011.07.035zbMath1238.34128OpenAlexW2024326997MaRDI QIDQ420044

Lev V. Idels, Leonid Berezansky, Pablo Amster

Publication date: 20 May 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.2011.07.035

zbMATH Keywords

angiogenesisa priori estimatesexistence of positive periodic solutionsLeray-Schauder degree methodsnonlinear nonautonomous delay differential equationssecond order Liénard type equation

Mathematics Subject Classification ID

Medical applications (general) (92C50) Periodic solutions to functional-differential equations (34K13) Cell biology (92C37)

Related Items (5)

Stability of Hahnfeldt angiogenesis models with time lags ⋮ A note on Arzela-Ascoli's lemma in almost periodic problems ⋮ Periodic solutions of a tumor-immune system interaction under a periodic immunotherapy ⋮ Existence theorems for some abstract nonlinear non-autonomous systems with delays ⋮ Effect of treatment on the global dynamics of delayed pathological angiogenesis models

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