ISSN:
1432-1416
Keywords:
Population models
;
Difference equations
;
Continual disturbances
;
Liapunov stability
;
Reachable sets
;
Discrete time
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Mathematics
Notes:
Abstract In this paper, methods for estimating the effect of continual (but bounded) disturbances on ecosystems modelled by difference equations are discussed. The approach adopted is to estimate the region of state space (called a reachable set) which can be reached by the disturbed system from an initial healthy state in a given time period. Liapunov stability methods for estimating these reachable sets are presented and applied to two specific population models.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00275715
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