Persistence of bistable waves in a delayed population model with stage structure on a two-dimensional spatial lattice |
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| Authors: | Cui-Ping Cheng Wan-Tong Li Zhi-Cheng Wang |
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| Institution: | a Department of Applied Mathematics, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, People’s Republic of Chinab School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, People’s Republic of China |
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| Abstract: | In this paper, we study the existence of traveling waves of a delayed population model with age-structure on a 2-dimensional spatial lattice when the maturation time r is relatively small. Under the assumption that the birth function b satisfies the bistable condition without requiring monotonicity, we prove the persistence of traveling wavefronts by means of a perturbation argument based on the existing results on the asymptotic autonomous system and the Fredholm alternative theory. |
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| Keywords: | Lattice differential equation Persistence of traveling wavefronts Fredholm alternative theory Perturbation |
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