Identification of Source Terms in a Coupled Age-structured Population Model with Discontinuous Diffusion Coefficients

Abstract

This article concerns the inverse problem of the coupled age-structured population dynamics system with discontinuous diffusion coefficients. The internal observations with two measurements are allowed to obtain the stability result for the inverse problem consisting of simultaneously retrieving two space dependent source terms in the given parabolic system. The proof of the result relies on Carleman estimates and certain energy estimates for parabolic system.

Keywords

• Stability
• Source term| Age-structured population model| Carleman estimate