Stability and Hopf bifurcations in a competitive tumour-immune system with intrinsic recruitment delay and chemotherapy

Type: Article

Publication Date: 2021-01-01

Citations: 3

DOI: https://doi.org/10.3934/mbe.2021101

Locations

  • Mathematical Biosciences & Engineering - View
  • DOAJ (DOAJ: Directory of Open Access Journals) - View
  • PubMed - View

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Works Cited by This (42)

Action Title Year Authors
+ PDF Chat A Mathematical Model to Elucidate Brain Tumor Abrogation by Immunotherapy with T11 Target Structure 2015 Sandip Banerjee
Subhas Khajanchi
Swapna Chaudhuri
+ A delay differential equation model for tumor growth 2003 Minaya Villasana
Ami Radunskaya
+ PDF Chat Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis 1994 Vladimir A. Kuznetsov
Iliya A. Makalkin
Mark A. Taylor
Alan S. Perelson
+ Chemotherapy for tumors: An analysis of the dynamics and a study of quadratic and linear optimal controls 2006 L. G. de Pillis
Wenling Gu
K. Renee Fister
Tiffany Head
KENNY MAPLES
Arvind Murugan
Todd Neal
Kazunobu YOSHIDA
+ The dynamics of an optimally controlled tumor model: A case study 2003 L. G. de Pillis
Ami Radunskaya
+ Modelling and mathematical problems related to tumor evolution and its interaction with the immune system 2000 Nicola Bellomo
Luigi Preziosi
+ Bifurcations in Delay Differential Equations and Applications to Tumor and Immune System Interaction Models 2013 Ping Bi
Shigui Ruan
+ A time delay model of tumour–immune system interactions: Global dynamics, parameter estimation, sensitivity analysis 2014 Fathalla A. Rihan
D.H. Abdel Rahman
S. Lakshmanan
Abdulmajeed Alkhajeh
+ Optimal control of drug therapy in cancer treatment 2009 Mehmet Ä°tik
Metin U. Salamcı
Stephen P. Banks
+ MATHEMATICAL MODELLING OF MACROPHAGE DYNAMICS IN TUMOURS 1999 Markus R. Owen
Jonathan A. Sherratt