Spreading Speeds and Traveling Waves for Periodic Evolution Systems

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Liang, Xing
Yi, Yingfei
Zhao, Xiao-Qiang
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http://hdl.handle.net/1853/29412
Abstract
The theory of spreading speeds and traveling waves for monotone autonomous semiflows is extended to periodic semiflows in the monostable case. Then these abstract results are applied to a periodic system modeling man-environment-man epidemics, a periodic time-delayed and diffusive equation, and a periodic reaction-diffusion equation on a cylinder.
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Research supported in part by the NSF of China (first author). Research supported in part by the NSF of USA grant DMS0204119 (second author). Research supported in part by the NSERC of Canada and the MITACS of Canada (third author).
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2005
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