Extinction and asymptotic behavior of solutions to a system arising in biology
From MaRDI portal
Publication:1885054
DOI10.4171/ZAA/1186zbMath1060.45007MaRDI QIDQ1885054
Mahiéddine Kouche, Nasser-eddine Tatar
Publication date: 28 October 2004
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Lyapunov functionpersistenceextinctionglobal asymptotic stabilitylogistic equationcoexistenceintegro-differential system
Integro-partial differential equations (45K05) Population dynamics (general) (92D25) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10) Systems of nonlinear integral equations (45G15)
Cites Work
- Unnamed Item
- Unnamed Item
- Convergence and ultimate bounds of solutions of the nonautonomous Volterra-Lotka competition equations
- Theory of functional differential equations. 2nd ed
- Permanence, extinction and balancing survival in nonautonomous Lotka-Volterra system with delays.
- Balancing survival and extinction in nonautonomous competitive Lotka- Volterra systems
- Uniform persistence and existence of strictly positive solutions to nonautonomous Lotka-Volterra competitive systems with delays
- Some new results on nonautonomous Lotka-Volterra competitive systems with delays
- Time delays in n-species competition – I: Global stability in constant environments
- Integro-differential equations for the self-organisation of liver zones by competitive exclusion of cell-types
- Extinction in nonautonomous competitive Lotka-Volterra systems
- On the Nonautonomous Volterra-Lotka Competition Equations
- Global Asymptotic Stability for a Stationary Solution of a System of Integro-Differential Equations Describing the Formation of Liver Zones
This page was built for publication: Extinction and asymptotic behavior of solutions to a system arising in biology