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Spreading speeds and traveling waves for periodic evolution systems |
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| Authors: | Xing Liang Yingfei Yi Xiao-Qiang Zhao |
| Affiliation: | a Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, PR China b School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA c Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL A1C 5S7, Canada |
| 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. |
| Keywords: | 37C65 37B55 35K57 35R10 92D25 |
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