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An application of perturbation theory for linear operators. Sensitivity analysis of Leslie matrix models

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Název:	An application of perturbation theory for linear operators. Sensitivity analysis of Leslie matrix models
Autoři:	Chen, Kewei
Informace o vydavateli:	Society of Biomathematics of China, Liaoning; Science Press, Beijing
Témata:	numerical example, Population dynamics (general), sensitivity analysis of Leslie matrix models, Perturbation theory of linear operators, Basic linear algebra, environmental change, resolvent, age-structured biological population
Popis:	We give in this paper a formula calculating the finite rate of an age- structured biological population when all its age specific rates are disturbed. We also give a numerical example showing that it is possible, using our results, to determine whether or not an environmental change is favorable for the population. It was almost impossible to do so by other results obtained before in sensitivity analysis of Leslie matrix models. The resolvent of the Leslie matrix is obtained, too.
Druh dokumentu:	Article
Popis souboru:	application/xml
Přístupová URL adresa:	https://zbmath.org/4031467
Přístupové číslo:	edsair.c2b0b933574d..811a58ad76265e6bb35e9abec0f14d77
Databáze:	OpenAIRE

Popis
Abstrakt:	We give in this paper a formula calculating the finite rate of an age- structured biological population when all its age specific rates are disturbed. We also give a numerical example showing that it is possible, using our results, to determine whether or not an environmental change is favorable for the population. It was almost impossible to do so by other results obtained before in sensitivity analysis of Leslie matrix models. The resolvent of the Leslie matrix is obtained, too.