AIMS Mathematics, 2017, 2(1): 81-95. doi: 10.3934/Math.2017.1.81.

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

1 Department of Mathematics, Bharathiar University, Coimbatore - 641046, India
2 Department of Mathematics, Central University of Tamilnadu, Thiruvarur - 610005, India

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.
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Keywords Stability, Source term; Age-structured population model; Carleman estimate

Citation: Varadharaj Dinakar, Natesan Barani Balan, Krishnan Balachandran. Identification of Source Terms in a Coupled Age-structured Population Model with Discontinuous Diffusion Coefficients. AIMS Mathematics, 2017, 2(1): 81-95. doi: 10.3934/Math.2017.1.81


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