Instability in Linear Cooperative Systems of Ordinary Differential Equations

DOI10.1137/141001147zbMath1372.34028arXiv1412.7070OpenAlexW3104611331MaRDI QIDQ5348332

Janusz Mierczyński

Publication date: 15 August 2017

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.7070

zbMATH Keywords

instabilitymatrix exponentialstrongly cooperative system of linear ordinary differential equations

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Nonautonomous smooth dynamical systems (37C60)

Related Items (7)

Spatio-temporal patterns of non-autonomous systems on hypergraphs: Turing and Benjamin–Feir mechanisms ⋮ Turing conditions for pattern forming systems on evolving manifolds ⋮ Analysis and numerical simulations of a stochastic SEIQR epidemic system with quarantine-adjusted incidence and imperfect vaccination ⋮ Turing and Benjamin–Feir instability mechanisms in non-autonomous systems ⋮ Instability and bifurcation of a cooperative system with periodic coefficients ⋮ Ergodicity in nonautonomous linear ordinary differential equations ⋮ Turing instability and pattern formation on directed networks

Cites Work

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• On the stability of slowly time-varying linear systems
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• Unstable Solutions of Nonautonomous Linear Differential Equations
• On the Stability of Switched Positive Linear Systems
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