Limit cycles in Kolmogorov-type model and its application in immunology

DOI10.1016/0895-7177(90)90255-LzbMath0726.92021OpenAlexW2074940493MaRDI QIDQ803085

Xun-Cheng Huang

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0895-7177(90)90255-l

zbMATH Keywords

immune responseexistence and uniqueness of limit cyclesGauss-type modelgeneral predator-prey modelKolmogorov-type modelstability of equilibrium points

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Medical applications (general) (92C50) Population dynamics (general) (92D25) Ecology (92D40)

Related Items (1)

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Cites Work

• 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
• Periodic solutions of predator-prey equations simulating an immune response. I
• Predator-prey equations simulating an immune response
• Proof of the uniqueness theorem of limit cycles of generalized liénard equations
• Uniqueness of limit cycles of generalised Lienard systems and predator-prey systems
• 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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