A new class of Volterra differential equations for which the solutions are globally asymptotically stable
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Publication:914931
DOI10.1016/0022-0396(89)90133-2zbMath0702.34043OpenAlexW1986883757MaRDI QIDQ914931
Publication date: 1989
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(89)90133-2
Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items (10)
Stability of Lotka-Volterra system ⋮ The LaSalle's invariant sets for a class of Lotka-Volterra prey-predator chain systems ⋮ Attractors and symmetries of vector fields: the inverse problem ⋮ Conservative and dissipative polymatrix replicators ⋮ Rank of stably dissipative graphs ⋮ Local stability and Lyapunov functionals for \(n\)-dimensional quasipolynomial conservative systems ⋮ Dynamics of the attractor in the Lotka-Volterra equations ⋮ Diagonal dominance and harmless off-diagonal delays ⋮ Global stability for a Lotka-Volterra reaction-diffusion system with a qualitatively stable matrix. ⋮ Hamiltonian evolutionary games
Cites Work
- Solution of the stability problem for a class of generalized Volterra prey-predator systems
- Characterization of acyclic D-stable matrices
- The Volterra model for three species predator-prey systems: Boundedness and stability
- Stability theory for ordinary differential equations
- THE EXTENT OF ASYMPTOTIC STABILITY
- A Semi-Definite Lyapunov Theorem and the Characterization of Tridiagonal D-Stable Matrices
- Volterra Multipliers II
- Global asymptotic stability for a class of many-variable volterra prey-predator systems
- On stability of non-linear systems of differential equations
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