Diffusive monotonicity and threshold dynamics of delayed reaction diffusion equations |
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Authors: | Jianhong Wu |
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Institution: | a Department of Mathematics and Statistics, York University, Toronto, Ont., Canada M3J 1P3 b Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NF, Canada A1C 5S7 |
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Abstract: | 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. |
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Keywords: | 34K30 35R10 58F39 92D25 |
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