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Angiogenesis model with Erlang distributed delays

Autor
Bodnar, Marek
Attia, Emad
Foryś, Urszula
Data publikacji
2017
Abstrakt (EN)

We 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.

Słowa kluczowe EN
Delay differential equations stability analysis Hopf bifurcation angiogenesis tumour growth
Dyscyplina PBN
matematyka
Czasopismo
Mathematical Biosciences and Engineering
ISSN
1547-1063
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