Bifurcation Analysis and Nonlinear Decay of a Tumor in the Presence of an Immune Response
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Publication:4602540
DOI10.1142/S0218127417502236zbMath1383.34073OpenAlexW2787772440MaRDI QIDQ4602540
Jesús M. Seoane, Miguel A. F. Sanjuán, Álvaro G. López
Publication date: 31 January 2018
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127417502236
Bifurcation theory for ordinary differential equations (34C23) Cell biology (92C37) Qualitative investigation and simulation of ordinary differential equation models (34C60)
Related Items (6)
Bifurcation Analysis of a Tumour-Immune Model with Nonlinear Killing Rate as State-Dependent Feedback Control ⋮ Hopf Bifurcation Induced by Delay Effect in a Diffusive Tumor-Immune System ⋮ Control strategies for a tumor-immune system with impulsive drug delivery under a random environment ⋮ Analysis of noise-induced phenomena in the nonlinear tumor-immune system ⋮ Tumor Stabilization Induced by T-Cell Recruitment Fluctuations ⋮ Bifurcation Analysis in a Cancer Growth Model
Cites Work
- A validated mathematical model of tumor growth including tumor-host interaction, cell-mediated immune response and chemotherapy
- Bergman-Vekua theory in differential form
- Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis
- A chemotherapy model for the treatment of cancer with metastasis
- The dynamics of an optimally controlled tumor model: A case study
- Modelling and mathematical problems related to tumor evolution and its interaction with the immune system
- A mathematical model of cycle-specific chemotherapy
- Destruction of solid tumors by immune cells
- The isoperimetric inequality
- CHAOS IN A THREE-DIMENSIONAL CANCER MODEL
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