An inverse problem in population dynamics |
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Authors: | Maurizio Grasselli |
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Affiliation: | Dipartimento di Matematica , Politecnico di Milano Via E. Bonardi 9 , Milano, 1-20133, Italy |
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Abstract: | The evolution of population densities of two interacting species in presence of diffusion phenomena is governed by a system of semilinear Volterra integrodifferential parabolic equations. In this system there are time convolution integrals, accounting for past history effects, which are essentially characterized by kernels depending on time only. These delay kernels can be viewed as entries of a 2x2 matrix K. The inverse problem of determining K via suitable population measurements is analyzed. |
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Keywords: | AMS(MOS) Subject Classification: 35R30 AMS(MOS) Subject Classification: 35K55 AMS(MOS) Subject Classification: 45K05 AMS(MOS) Subject Classification: 92D25 |
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