A Delayed Dynamical Model Describing the Effect of Tumor-Induced Vascular Endothelial Growth Factor on Angiogenesis: Backward Bifurcations and Global Dynamics
DOI10.1142/S0218127422501218zbMath1503.34150MaRDI QIDQ5094749
Jia-Wen Chen, Wanbiao Ma, Zhao-sheng Feng
Publication date: 4 August 2022
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Asymptotic theory of functional-differential equations (34K25) 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
- Complex dynamics in a prey predator system with multiple delays
- Mathematical models of tumor-immune system dynamics. Proceedings of the international workshop, Sydney, Australia, January 7--10, 2013
- Delay differential equations: with applications in population dynamics
- Global behavior of delay differential equations model of HIV infection with apoptosis
- Introduction to functional differential equations
- A chemotherapy model for the treatment of cancer with metastasis
- Mathematical modeling of cellular cross-talk between endothelial and tumor cells highlights counterintuitive effects of VEGF-targeted therapies
- A mathematical model for the effect of anti-angiogenic therapy in the treatment of cancer tumours by chemotherapy
- A mathematical model of cancer treatment by immunotherapy
- Nonlinear dynamics in tumor-immune system interaction models with delays
- Global dynamics in a tumor-immune model with an immune checkpoint inhibitor
- Mathematical modeling of an immune checkpoint inhibitor and its synergy with an immunostimulant
- On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay
- Stability of a mathematical model of tumour-induced angiogenesis
- Unnamed Item
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