Global existence of solutions for some coupled systems of reaction-diffusion equations

Mathematics – Analysis of PDEs

Scientific paper

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7 pages

Scientific paper

The aim of this work is to study the global existence of solutions for some
coupled systems of reaction diffusion which describe the spread within a
population of infectious disease. We consider a triangular matrix diffusion and
we show that we can prove global existence of classical solutions for the
nonlinearities of weakly exponential growth.

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