ISSN:
1432-1416
Keywords:
Epidemic systems
;
Lotka-Volterra systems
;
Distributed time delays
;
Equilibrium states
;
Global stability
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00276147
