Diffusive monotonicity and threshold dynamics of delayed reaction diffusion equations (Q1867232)

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scientific article; zbMATH DE number 1891251
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Diffusive monotonicity and threshold dynamics of delayed reaction diffusion equations
scientific article; zbMATH DE number 1891251

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    Diffusive monotonicity and threshold dynamics of delayed reaction diffusion equations (English)
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    2 April 2003
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    The authors investigate 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 for a nonlocal and delayed reaction-diffusion model. An interesting diffusive population model with nonlocal delay is given to illustrate the theory.
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    exponential ordering
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    monotonicity
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    delayed and diffusive models
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    nonlocal effect
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    global dynamics
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