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Dergiler / Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik / 2018 / Cilt: 19 - Sayı: 1

STABILITY AND HOPF BIFURCATION ANALYSIS OF A MATHEMATICAL MODEL IN TUMOR ANGIOGENESIS

Serdal PAMUK
İrem ÇAY
Sayfa
50–57
Yayın Tarihi
2022-10-11
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also show the existence of a Hopf bifurcation and provide some figures to show that theequilibrium solutions are indeed asymptotically stable.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:This work has been presented at the ”International Conference on Mathematics and Engineering, 10-12 May, 2017, Istanbul,Turkey”.
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Temel Bulgular & Veri:In this paper we introduce a stability and Hopf bifurcation analysis of a reaction diffusion system which models theinteraction between endothelial cells and the inhibitor.
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Sonuç & Katkı:We also show the existence of a Hopf bifurcation and provide some figures to show that theequilibrium solutions are indeed asymptotically stable.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:2017 Verileri
⚙️Değişkenler:Alan Parametreleri

Abstract

This work has been presented at the ”International Conference on Mathematics and Engineering, 10-12 May, 2017, Istanbul,Turkey”. In this paper we introduce a stability and Hopf bifurcation analysis of a reaction diffusion system which models theinteraction between endothelial cells and the inhibitor. Then, we investigate the stability of the positive equilibrium solutionsunder some conditions. We also show the existence of a Hopf bifurcation and provide some figures to show that theequilibrium solutions are indeed asymptotically stable.

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Bu Makaleye Atıf Yap

PAMUK, S., ÇAY, İ. (2022). STABILITY AND HOPF BIFURCATION ANALYSIS OF A MATHEMATICAL MODEL IN TUMOR ANGIOGENESIS. Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik, Cilt: 19 - Sayı: 1, 50–57. https://ajindex.com/articles/438216

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Kaynakça (6)

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