Diffusive monotonicity and threshold dynamics of delayed reaction diffusion equations

[摘要] For abstract functional differential equations and reaction diffusion equations with delay, an exponential ordering is introduced which takes into account the spatial diffusion. The induced monotonicity of the solution semiflows is established and applied to describe the threshold dynamics (extinction or persistence/convergence to positive equilibria) for a nonlocal and delayed reaction diffusion Population model. (C) 2002 Elsevier Science (USA). All rights reserved.

[发布日期] 2002-12-10

[关键词] exponential orderings;monotonicity;delayed and diffusive models;nonlocal effect;global dynamics