Effects of vascularization on lymphocyte/tumor cell dynamics: Qualitative features

DOI10.1016/0895-7177(96)00016-7zbMath0859.92010OpenAlexW2054135158WikidataQ127027718 ScholiaQ127027718MaRDI QIDQ1921072

John A. Adam

Publication date: 13 April 1997

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://digitalcommons.odu.edu/mathstat_fac_pubs/92

zbMATH Keywords

limit cyclesHopf bifurcationperiodic oscillationspredator-prey systemsolid tumormulticell spheroideffects of vascularizationreactive lymphocytestumor-host immune system interactions

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Medical applications (general) (92C50)

Related Items (8)

Hopf Bifurcation Induced by Delay Effect in a Diffusive Tumor-Immune System ⋮ Hopf bifurcation analysis and numerical simulations in an ODE model of the immune system with positive immune response ⋮ Bifurcations in a Cancer and Immune Model with Allee Effect ⋮ Nonlinear dynamics in tumor-immune system interaction models with delays ⋮ Bautin bifurcation in a minimal model of immunoediting ⋮ Stochastic Simulation on a Minimal Model of Cancer Immunoediting Theory ⋮ Some perspectives on modeling leukemia ⋮ Cells behaving badly: A theoretical model for the fas/FasL system in tumour immunology

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• A model predator-prey system with functional response
• Dynamics of tumor interaction with the host immune system
• The dynamics of growth-factor-modified immune response to cancer growth: One dimensional models

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