Estimating the effect of continual disturbances on discrete-time population models |
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| Authors: | M E Fisher W J Grantham |
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| Institution: | (1) Department of Mathematics, University of Western Australia, 6009 Nedlands, Western Australia;(2) Department of Mechanical Engineering, Washington State University, 99164-2920 Pullman, Washington, USA |
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| 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. |
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| Keywords: | Population models Difference equations Continual disturbances Liapunov stability Reachable sets Discrete time |
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