Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10678592 | Applied Mathematics Letters | 2005 | 7 Pages |
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.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Yifu Wang, Yiming Wang,