Uniqueness of limit cycle in an immune system

DOI10.1016/j.nonrwa.2006.11.002zbMath1144.34341OpenAlexW1972968633MaRDI QIDQ924586

Xun-Cheng Huang, Le-Min Zhu

Publication date: 16 May 2008

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.11.002

zbMATH Keywords

uniquenesslimit cyclesimmune responsenonlinear oscillatory phenomena

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• Multiple stable equilibria in a predator-prey system
• 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 predator-prey equations simulating an immune response. II
• Limit cycles in a general Kolmogorov model
• Predator-prey equations simulating an immune response
• Relative position of limit cycles in an immune responsec
• Uniqueness of a Limit Cycle for a Predator-Prey System
• Existence and stability of periodic solutions of a third-order non-linear autonomous system simulating immune response in animals

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