Hopf Bifurcation in Oncolytic Therapeutic Modeling: Viruses as Anti-Tumor Means with Viral Lytic Cycle
DOI10.1142/S0218127422501711zbMath1506.34107MaRDI QIDQ5040475
Fatiha Najm, Radouane Yafia, Moulay Aziz-Alaoui
Publication date: 14 October 2022
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Hopf bifurcationdelay differential equationJeff's phenomenonanti-tumour virusstability/instability of equilibria
Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Cell biology (92C37) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Stationary solutions of functional-differential equations (34K21)
Cites Work
- Unnamed Item
- An Îto stochastic differential equations model for the dynamics of the MCF-7 breast cancer cell line treated by radiotherapy
- Lytic cycle: A defining process in oncolytic virotherapy
- Introduction to functional differential equations
- ODE models for oncolytic virus dynamics
- Modeling of cancer virotherapy with recombinant measles viruses
- Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
- Modeling the virus-induced tumor-specific immune response with delay in tumor virotherapy
- Mathematical modeling of cancer radiovirotherapy
- Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
- Bifurcation and Stability in a Delayed Predator–Prey Model with Mixed Functional Responses
- A mathematical model for cell cycle-specific cancer virotherapy
This page was built for publication: Hopf Bifurcation in Oncolytic Therapeutic Modeling: Viruses as Anti-Tumor Means with Viral Lytic Cycle
