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ANGIOGENESIS MODEL WITH ERLANG DISTRIBUTED DELAYS
Journal article   Open access  Peer reviewed

ANGIOGENESIS MODEL WITH ERLANG DISTRIBUTED DELAYS

Emad Attia, Marek Bodnar, Urszula Forys and 1. Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
Mathematical biosciences and engineering : MBE, Vol.14(1), pp.1-15
01/02/2017
PMID: 27879116

Abstract

Life Sciences & Biomedicine Mathematical & Computational Biology Science & Technology
We consider the model of angiogenesis process proposed by Bodnar and Foryg (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.
url
https://doi.org/10.3934/mbe.2017001View
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