Qualitative analysis of second-order models of tumor-immune system competition

DOI10.1016/j.mcm.2007.07.005zbMath1145.34303OpenAlexW2019292904MaRDI QIDQ949504

Armando Ciancio, Carlo Cattani

Publication date: 21 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.07.005

zbMATH Keywords

dynamical systemsnonlinearityasymptotic analysispopulation models

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Medical applications (general) (92C50) Population dynamics (general) (92D25)

Related Items (11)

A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative ⋮ Chaotic behaviour of fractional predator-prey dynamical system ⋮ On fractional predator and prey models with mutualistic predation including non-local and nonsingular kernels ⋮ Mathematical analysis of a fractional-order predator-prey model with prey social behavior and infection developed in predator population ⋮ Mathematical model of brain tumour with glia-neuron interactions and chemotherapy treatment ⋮ Modeling cancer immunotherapy: assessing the effects of lymphocytes on cancer cell growth and motility ⋮ Metamodeling the learning-hiding competition between tumours and the immune system: A kinematic approach ⋮ Effects of behavioral tactics of predators on dynamics of a predator-prey system ⋮ Modeling the hiding-learning dynamics in large living systems ⋮ On the modeling of nonlinear interactions in large complex systems ⋮ Separable transition density in the hybrid model for tumor-immune system competition

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