The effect of time delay and Hopf bifurcation in a tumor-immune system competition model with negative immune response

• Autorzy: Radouane Yafia
• Języki publikacji: EN

Abstrakty

EN

We consider a system of delay differential equations modelling the tumor-immune system competition with negative immune response and three positive stationary points. The dynamics of the first two positive solutions are studied in terms of the local stability. We are particularly interested in the study of the Hopf bifurcation problem to predict the occurrence and stability of a limit cycle bifurcating from the second positive stationary point, when the delay (taken as a parameter) crosses some critical values. The results obtained provide the oscillations given by the numerical study given in Galach (2003).

Kategorie tematyczne

• 34K18: Bifurcation theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2009
• Tom: 36
• Numer: 3
• Strony: 349-364

Daty

wydano

2009

Twórcy

autor

Radouane Yafia

• Faculté Polydisciplinaire, Université Ibn Zohr, B.P. 638, Ouarzazate, Morocco

Identyfikatory

DOI

10.4064/am36-3-7