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2004 A reaction-diffusion system on noncoincident spatial domains modeling the circulation of a disease between two host populations
W. E. Fitzgibbon, M. Langlais, J. J. Morgan
Differential Integral Equations 17(7-8): 781-802 (2004).

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.

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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.

Information

Published: 2004
First available in Project Euclid: 21 December 2012

zbMATH: 1150.35448
MathSciNet: MR2074686

Subjects:
Primary: 35K57
Secondary: 35K50 , 92D30

Rights: Copyright © 2004 Khayyam Publishing, Inc.

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Vol.17 • No. 7-8 • 2004
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