Stability and Hopf bifurcations in a competitive tumour-immune system with intrinsic recruitment delay and chemotherapy
DOI10.3934/MBE.2021101zbMath1471.92106OpenAlexW3135003959MaRDI QIDQ1981174
Publication date: 10 September 2021
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2021101
Hopf bifurcationnumerical simulationschemotherapybistable phenomenonintrinsic recruitment delaytumor relapse
Bifurcation theory for ordinary differential equations (34C23) Medical applications (general) (92C50) Stability of solutions to ordinary differential equations (34D20) Pathology, pathophysiology (92C32)
Cites Work
- Unnamed Item
- Stability and bifurcation analysis of delay induced tumor immune interaction model
- Bifurcation analysis of a delayed mathematical model for tumor growth
- Cost-effectiveness analysis of optimal strategy for tumor treatment
- Mathematical models for immunology: current state of the art and future research directions
- Chaos and optimal control of cancer self-remission and tumor system steady states
- Modeling immunotherapy of the tumor -- immune interaction
- Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis
- The effect of time delays on the dynamics of avascular tumor growth
- A delay differential equation model for tumor growth
- A mathematical model of tumor-immune evasion and siRNA treatment
- 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 time delay model of tumour-immune system interactions: global dynamics, parameter estimation, sensitivity analysis
- What can be learned from a chaotic cancer model?
- Stability and bifurcation in a neural network model with two delays.
- Sensitivity analysis for dynamic systems with time-lags
- Influence of multiple delays in brain tumor and immune system interaction with T11 target structure as a potent stimulator
- Mathematical modeling of tumor-immune competitive system, considering the role of time delay
- Nonlinear dynamics in tumor-immune system interaction models with delays
- A deterministic and stochastic model for the system dynamics of tumor-immune responses to chemotherapy
- Mixed immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations
- Influence of distributed delays on the dynamics of a generalized immune system cancerous cells interactions model
- Analysis of mathematical model of prostate cancer with androgen deprivation therapy
- A mathematical model of tumor-immune interactions with an immune checkpoint inhibitor
- A mathematical model for the effect of obesity on cancer growth and on the immune system response
- Response of patients with melanoma to immune checkpoint blockade -- insights gleaned from analysis of a new mathematical mechanistic model
- Quantifying the role of immunotherapeutic drug T11 target structure in progression of malignant gliomas: mathematical modeling and dynamical perspective
- Chemotherapy for tumors: An analysis of the dynamics and a study of quadratic and linear optimal controls
- Cancer self remission and tumor stability -- a stochastic approach
- Bifurcations in Delay Differential Equations and Applications to Tumor and Immune System Interaction Models
- Dual role of delay effects in a tumour–immune system
- Nonoscillation in a delay-logistic equation
- Uniform persistence in Kolmogorov models with convex growth functions
- MATHEMATICAL MODELLING OF MACROPHAGE DYNAMICS IN TUMOURS
- Hopf Bifurcation in Differential Equations with Delay for Tumor–Immune System Competition Model
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