Bifurcation Analysis of a Modified Tumor-immune System Interaction Model Involving Time Delay

DOI10.1051/MMNP/201712508zbMath1387.35039OpenAlexW2762615065MaRDI QIDQ4607586

Radouane Yafia, Hüseyin Merdan, Serdar Göktepe, Ş. Kayan

Publication date: 14 March 2018

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/11511/39342

zbMATH Keywords

Hopf bifurcationNeumann boundary conditionstumor-immune system competition

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Biology, chemistry, medicine (aspects of mathematics education) (97M60)

Related Items (7)

Numerical methods for systems of diffusion and superdiffusion equations with Neumann boundary conditions and with delay ⋮ Numerical method for system of space-fractional equations of superdiffusion type with delay and Neumann boundary conditions ⋮ Hopf Bifurcation Induced by Delay Effect in a Diffusive Tumor-Immune System ⋮ Analysis on bifurcation and stability of a generalized Gray-Scott chemical reaction model ⋮ Mathematical analysis of an epidemic model with direct and indirect transmission modes and two delays ⋮ Hopf and Bogdanov–Takens Bifurcations of a Delayed Bazykin Model ⋮ Bifurcation analysis of the cancer virotherapy system with time delay and diffusion

Uses Software

• FEAP

Cites Work

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