Parameter estimation in nonlinear age-dependent population dynamics |
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Authors: | Cho, C-K Kwon, YH |
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Affiliation: | Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, Republic of Korea |
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Abstract: | This paper studies a parameter estimation problem for the Gurtin-MacCamyequation, which is a nonlinear model of age-dependent populationdynamics. In estimating parameters such as the death rate andthe fertility which depend on the age and the total populationfrom a set of fully discrete observations of the population,we use a backward finite-difference scheme. The function-spaceparameter estimation convergence (FSPEC) of this scheme is provedand numerical simulations are performed. |
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