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Population Equations with Diffusion

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Positive Operator Semigroups

Abstract

Many applications of positive semigroups occur in mathematical biology or chemistry. In the finite-dimensional part of our text we have already discussed a very simple discrete-time population model, called the Leslie model (see Section 6.3). In this chapter we present a time-continuous age-structured population model with spatial diffusion. We present a rather advanced model in order to show the reader some generalizations and applications.

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Bátkai, A., Fijavž, M.K., Rhandi, A. (2017). Population Equations with Diffusion. In: Positive Operator Semigroups. Operator Theory: Advances and Applications, vol 257. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-42813-0_19

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