Sensitivity functions and their uses in inverse problems. (English) Zbl 1141.34049
The traditional sensitivity functions and the generalized sensitivity functions are calculated for the Verhulst-Pearl logistic model and for an agricultural production network model. Both sensitivity functions offer a great insight into the regions where the measurements in time should be taken in order to ensure a maximum and uncorrelated parameter sensitivity.
Reviewer: Daniel Lesnic (Leeds)
MSC:
| 34K29 | Inverse problems for functional-differential equations |
| 90C31 | Sensitivity, stability, parametric optimization |
| 34A55 | Inverse problems involving ordinary differential equations |
Keywords:
inverse problems; sensitivity and generalized sensitivity functions; Fisher information matrix; logistic growth model; agricultural production networks.References:
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