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Angiogenesis model with Erlang distributed delays

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cris.lastimport.scopus2024-02-12T20:40:51Z
dc.abstract.enWe consider the model of angiogenesis process proposed by Bodnar and Foryś (2009) with time delays included into the vessels formation and tumour growth processes. Originally, discrete delays were considered, while in the present paper we focus on distributed delays and discuss specific results for the Erlang distributions. Analytical results concerning stability of positive steady states are illustrated by numerical results in which we also compare these results with those for discrete delays.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorBodnar, Marek
dc.contributor.authorAttia, Emad
dc.contributor.authorForyś, Urszula
dc.date.accessioned2024-01-24T16:34:50Z
dc.date.available2024-01-24T16:34:50Z
dc.date.issued2017
dc.description.financeNie dotyczy
dc.identifier.doi10.3934/MBE.2017001
dc.identifier.issn1547-1063
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/100703
dc.pbn.affiliationmathemathics
dc.relation.ispartofMathematical Biosciences and Engineering
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enDelay differential equations stability analysis Hopf bifurcation angiogenesis tumour growth
dc.titleAngiogenesis model with Erlang distributed delays
dc.typeJournalArticle
dspace.entity.typePublication