Existence of a globally asymptotically stable equilibrium in Volterra models with continuous time delay
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Publication:585122
DOI10.1007/BF00280659zbMath0523.92013OpenAlexW1998905853WikidataQ113908967 ScholiaQ113908967MaRDI QIDQ585122
Fortunata Solimano, Edoardo Beretta
Publication date: 1983
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00280659
Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items (6)
Nonexistence of periodic solutions in delayed Lotka--Volterra systems. ⋮ A mathematical model with young predation ⋮ Global stability of single-species diffusion Volterra models with continuous time delays ⋮ Global stability and periodic orbits for two-patch predator-prey diffusion-delay models ⋮ A homotopy technique for a linear generalization of Volterra models ⋮ Global asymptotic behavior of the n-species lotka-volterra tree systems with continuous time delay*
Cites Work
- Lotka-Volterra equations: Decomposition, stability, and structure. Part I: Equilibrium analysis
- The existence of globally stable equilibria of ecosystems of the generalized Volterra type
- Graph theoretical criteria for stability and boundedness of predator-prey systems
- Sector stability of a complex ecosystem model
- Global stability of ecosystems of the generalized Volterra type
- The Volterra model for three species predator-prey systems: Boundedness and stability
- On the number of solutions to the complementarity problem and spanning properties of complementary cones
- Global Stability in Ecological Systems with Continuous Time Delay
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