Using sign patterns to detect the possibility of periodicity in biological systems.

Abstract

Many models in the physical and life sciences, formulated as dynamical systems, exhibit a positive steady state, with its local qualitative behavior determined by the eigenvalues of its Jacobian matrix. Our interest lies in detecting if this steady state is linearly stable or if the system has periodic solutions arising from a Hopf bifurcation. We address… (More)
DOI: 10.1007/s00285-015-0906-z

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