Permanence and viability

DOI10.1016/0377-0427(88)90400-1zbMath0659.93059OpenAlexW2147914522MaRDI QIDQ1112776

Karl Sigmund, Jean-Pierre Aubin

Publication date: 1988

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(88)90400-1

zbMATH Keywords

permanenceviabilityreplicator equationsbiomathematicsheavy trajectoriesnonequilibrium theory

Mathematics Subject Classification ID

Controllability (93B05) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Economic growth models (91B62) Ordinary differential inclusions (34A60) Ecology (92D40) General biology and biomathematics (92B05) Stability of control systems (93D99)

Related Items (2)

Anti-Lyapunov method for systems of discrete equations ⋮ From Chaos to Permanence Using Control Theory (Research)

Cites Work

• A criterion for permanent coexistence of species, with an application to a two-prey one-predator system
• Predator mediated coexistence with a switching predator
• Permanent coexistence in general models of three interacting species
• A general cooperation theorem for hypercycles
• Monotone trajectories of differential inclusions and functional differential inclusions with memory
• Dynamical systems under constant organization. III: Cooperative and competitive behaviour of hypercycles
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