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Digitale Medien

Global stability results for a generalized Lotka-Volterra system with distributed delays (1988)

Beretta, E. ; Capasso, V. ; Rinaldi, F.

Springer

Journal of mathematical biology 26 (1988), S. 661-688

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Details

ISSN: 1432-1416

Schlagwort(e): Epidemic systems ; Lotka-Volterra systems ; Distributed time delays ; Equilibrium states ; Global stability

Quelle: Springer Online Journal Archives 1860-2000

Thema: Biologie , Mathematik

Notizen: Abstract The paper contains an extension of the general ODE system proposed in previous papers by the same authors, to include distributed time delays in the interaction terms. The new system describes a large class of Lotka-Volterra like population models and epidemic models with continuous time delays. Sufficient conditions for the boundedness of solutions and for the global asymptotic stability of nontrivial equilibrium solutions are given. A detailed analysis of the epidemic system is given with respect to the conditions for global stability. For a relevant subclass of these systems an existence criterion for steady states is also given.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00276147

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