Dynamics of a mathematical model for cancer therapy with oncolytic viruses

Ayoub Nouni, Khalid Hattaf, Noura Yousfi

Abstract


Actually, cancer is considered one of the leading causes of death in the world. Various therapeutic strategies have been developed to combat this dangerous disease. This article investigates a promising therapeutic strategy by proposing a mathematical model that describes the dynamics of cancer treatment with oncolytic viruses. The proposed model integrates the time needed for infected tumor cells to produce new virions after viral entry, the probability of surviving during the latent period, and the saturation effect. We first prove the well-posedness of model and the existence of three equilibria that represent the desired outcome of therapy, the complete failure of therapy and the partial success of therapy. Furthermore, the stability analysis of equilibria and the existence of Hopf bifurcation are rigourously investigated.

Full Text: PDF

Published: 2019-05-16

How to Cite this Article:

Ayoub Nouni, Khalid Hattaf, Noura Yousfi, Dynamics of a mathematical model for cancer therapy with oncolytic viruses, Communications in Mathematical Biology and Neuroscience, Vol 2019 (2019), Article ID 12

Copyright © 2019 Ayoub Nouni, Khalid Hattaf, Noura Yousfi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

ISSN 2052-2541

Editorial Office: office@scik.org

 

Copyright ©2019 CMBN