Dynamic behaviors of a delay differential equation model of plankton allelopathy
From MaRDI portal
Publication:2370686
DOI10.1016/j.cam.2006.08.020zbMath1125.34066OpenAlexW1983678505WikidataQ115359873 ScholiaQ115359873MaRDI QIDQ2370686
Jitka Laitochová, Zhong Li, Fengde Chen, Xiao Xing Chen
Publication date: 29 June 2007
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2006.08.020
Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)
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Cites Work
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- Unnamed Item
- A different consideration about the globally asymptotically stable solution of the periodic n-competing species problem
- On a periodic multi-species ecological model
- Average conditions for permanence and extinction in nonautonomous Gilpin-Ayala competition model
- Extinction in two dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances
- Extinction in a two dimensional Lotka-Volterra system with infinite delay
- Some new results on the permanence and extinction of nonautonomous Gilpin-Ayala type competition model with delays
- A delay differential equations model of plankton allelopathy
- Positive periodic solutions of neutral Lotka--Volterra system with periodic delays.
- The permanence and global attractivity in a nonautonomous Lotka--Volterra system
- Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system
- The almost periodic Kolmogorov competitive systems
- Global periodic solutions of a generalized \(n\)-species Gilpin-Ayala competition model
- Positive periodic solutions of neutral Lotka-Volterra system with feedback control
- Periodicity in a logistic type system with several delays
- On a nonlinear nonautonomous predator--prey model with diffusion and distributed delay
- Gobal asymptotic stability in \(n\)-species nonautonomous Lotka-Volterra competitive systems with delays.
- New results on positive periodic solutions of a periodic integro-differential competition system
- Periodic solutions for delay differential equations model of plankton allelopathy
- Sufficient conditions for the existence positive periodic solutions of a class of neutral delay models with feedback control
- Periodic solutions of a periodic Lotka--Volterra system with delays
- Global stability in delay differential systems without dominating instantaneous negative feedbacks
- Positive periodic solution of a general discrete non-autonomous difference system of plankton allelopathy with delays
- Boundedness and partial survival of species in nonautonomous Lotka--Volterra systems
- Permanence in nonautonomous multi-species predator--prey system with feedback controls
- Permanence and global stability of nonautonomous Lotka-Volterra system with predator-prey and deviating arguments
- The permanence and global attractivity of Lotka--Volterra competition system with feedback controls
- Existence, uniqueness and stability of positive periodic solution for a nonlinear prey-competition model with delays
- Global stability in periodic competitive systems
- Periodicity in a nonlinear predator-prey system with state dependent delays
- DYNAMIC BEHAVIOR OF A NONLINEAR SINGLE SPECIES DIFFUSIVE SYSTEM
- Global asymptotic stability in a periodic Lotka-Volterra system
- On the Nonautonomous Volterra-Lotka Competition Equations
- Necessary and Sufficient Conditions for Extinction of One Species
- Periodic solutions of periodic delay Lotka-Volterra equations and systems
- Periodic solution for a two-species nonautonomous competition Lotka-Volterra patch system with time delay