Multiple limit cycles in an immune system

DOI10.1007/S10255-005-5040-ZzbMath1156.34037OpenAlexW2395732441MaRDI QIDQ942867

Le-Min Zhu, Minaya Villasana, Xun-Cheng Huang

Publication date: 8 September 2008

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-005-5040-z

zbMATH Keywords

oscillationimmune responsemultiple limit cycles

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60)

Cites Work

• Unnamed Item
• A three-dimensional chemostat with quadratic yields
• Uniqueness of limit cycles in Gause-type models of predator-prey systems
• Conditions for uniqueness of limit cycles in general predator-prey systems
• Bifurcation behavior of periodic solutions for an immune response problem
• Periodic solutions of third order predator-prey equations simulating an immune response
• Periodic solutions of predator-prey equations simulating an immune response. II
• Limit cycles in a general Kolmogorov model
• Predator-prey equations simulating an immune response
• Stability of a general predator-prey model

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