A Mathematical Perspective on the Influence of Allee Effects in Oncolytic Virotherapy

Eymard Hernández-López () and Jin Wang ()
Additional contact information
Eymard Hernández-López: Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA
Jin Wang: Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA

Mathematics, 2025, vol. 13, issue 5, 1-30

Abstract: This article is concerned with the mathematical modeling of cancer virotherapy, emphasizing the impact of Allee effects on tumor cell growth. We propose a modeling framework that describes the complex interaction between tumor cells and oncolytic viruses. The efficacy of this therapy against cancer is mathematically investigated. The analysis involves linear and logistic growth scenarios coupled with different Allee effects, including weak, strong, and hyper Allee forms. Critical points are identified, and their existence and stability are analyzed using dynamical system theories and bifurcation techniques. Also, bifurcation diagrams and numerical simulations are utilized to verify and extend analytical results. It is observed that Allee effects significantly influence the stability of the system and the conditions necessary for tumor control and eradication.

Keywords: dynamical systems; tumor eradication; virotherapy; bifurcation diagrams; Hopf bifurcation; logistic growth; allee effects (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/5/744/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/5/744/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:5:p:744-:d:1599063

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().