Abstract
We study the global existence and long-time behavior of the solutions to a special reaction-diffusion system arising in mathematical population dynamics, with kinetics occurring on distinct spatial domains. First, we give a comprehensive description of the dynamics of the solutions of the underlying system of ordinary differential equations. Next, we analyze a simpler problem where the spatial domain is the same for all the partial differential equations. Last, we prove global existence for the original problem; we offer a conjecture concerning the large-time behavior of solutions and give some hints on its derivation and proof.
Citation
W. E. Fitzgibbon. M. Langlais. J. J. Morgan. "A reaction-diffusion system on noncoincident spatial domains modeling the circulation of a disease between two host populations." Differential Integral Equations 17 (7-8) 781 - 802, 2004. https://doi.org/10.57262/die/1356060329
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