Stable equilibrium of systems of generalized Volterra type

DOI10.1016/0022-247X(82)90183-4zbMath0491.34048OpenAlexW2093113871MaRDI QIDQ1167334

Norihiko Adachi, Yasuhiro Takeuchi

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(82)90183-4

zbMATH Keywords

biochemical reactionsLyapunov's direct methodglobal stability analysisVolterra systemslinear complementarity theory

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) General biology and biomathematics (92B05)

Related Items (10)

Stochastic eco-evolutionary model of a prey-predator community ⋮ Equilibria in some families of Kolmogorov systems ⋮ Existence and bifurcation of stable equilibrium in two-prey, one-predator communities ⋮ Existence of stable equilibrium point for dynamical systems of Volterra type ⋮ Bifurcation and complex dynamics of a two-prey two-predator system concerning periodic biological and chemical control ⋮ Extinction and permanence of a two-prey two-predator system with impulsive on the predator ⋮ Local stability and Lyapunov functionals for \(n\)-dimensional quasipolynomial conservative systems ⋮ Stability of piecewise linear generalized Volterra discrete diffusion systems with patches ⋮ Diffusion effect on stability of Lotka-Volterra models ⋮ Boundedness of solutions and Lyapunov functions in quasi-polynomial systems

Cites Work

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• The symmetrization of matrices by diagonal matrices
• The existence of globally stable equilibria of ecosystems of the generalized Volterra type
• Nonvulnerability of ecosystems in unpredictable environments
• Sector stability of a complex ecosystem model
• The stability of generalized Volterra equations
• Global stability of ecosystems of the generalized Volterra type
• Periodic solutions in n dimensions and Volterra equations
• Predator-Prey Patterns
• The stability of interacting populations

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