Article ID Journal Published Year Pages File Type
10678592 Applied Mathematics Letters 2005 7 Pages PDF
Abstract
Taking the effect of spatial diffusion into account, we introduce an exponential ordering and give sufficient conditions under which reaction-diffusion systems with delays generate monotone semi-flows on a suitable phase space even if they are not quasi-monotone. The powerful theory of monotone semi-flows is applied to describe the threshold dynamics for a nonlocal delayed reaction-diffusion system modelling the spread of bacterial infections.
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Authors
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