Existence and stability of periodic solutions of a third-order non-linear autonomous system simulating immune response in animals

DOI10.1017/S0308210500018126zbMath0361.34040MaRDI QIDQ4134277

Nicholas D. Kazarinoff, In-Ding Hsue

Publication date: 1977

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30)

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Cites Work

• Periodic solutions of third order predator-prey equations simulating an immune response
• An applicable Hopf bifurcation formula and instability of small periodic solutions of the Field-Noyes model

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