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The principal eigenvalue for periodic nonlocal dispersal systems with time delay |
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| Authors: | Xing Liang Lei Zhang Xiao-Qiang Zhao |
| Affiliation: | 1. School of Mathematical Sciences and Wu Wen-Tsun Key Laboratory of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, China;2. Department of Mathematics, Harbin Institute of Technology in Weihai, Weihai, Shandong 264209, China;3. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John''s, NL A1C 5S7, Canada |
| Abstract: | The theory of the principal eigenvalue is established for the eigenvalue problem associated with a linear time-periodic nonlocal dispersal cooperative system with time delay. Then we apply it to a Nicholson's blowflies population model and obtain a threshold type result on its global dynamics. |
| Keywords: | 34K08 35K57 37B55 Principal eigenvalue Periodic systems Time delay Nonlocal dispersal |
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