Global attractivity of the periodic Lotka-Volterra system
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Publication:1289047
DOI10.1006/jmaa.1999.6285zbMath0973.92039OpenAlexW2018015813MaRDI QIDQ1289047
Publication date: 24 May 1999
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1999.6285
Periodic solutions to ordinary differential equations (34C25) Dynamical systems in biology (37N25) Ecology (92D40)
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Cites Work
- A different consideration about the globally asymptotically stable solution of the periodic n-competing species problem
- Periodic Lotka-Volterra competition equations
- Convergence and ultimate bounds of solutions of the nonautonomous Volterra-Lotka competition equations
- Two species competition in a periodic environment
- Competition systems with periodic coefficients: A geometric approach
- Global asymptotic stability of the periodic Lotka-Volterra system with two predators and one prey
- An application of topological degree to the periodic competing species problem
- Global asymptotic stability in a periodic Lotka-Volterra system
- Global asymptotic stability in an almost-periodic Lotka-Volterra system
- Asymptotic behavior of predator–prey system with time dependent coefficients
- On almost Periodic Solutions of the Competing Species Problems
- Exchange of equilibria in two species Lotka-Volterra competition models
- On the Nonautonomous Volterra-Lotka Competition Equations
