Asymptotic pattern for a periodic lattice model with age structure and global interaction |
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| Authors: | Zongyi Wang Peixuan Weng |
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| Affiliation: | 1. Department of Mathematics, Huizhou University, Huizhou, Guangdong 516007, P.R. China.wzy@hzu.edu.cn;3. School of Mathematics, South China Normal University, Guangzhou 510631, P.R. China. |
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| Abstract: | ![]()
In this paper, we derive a time-periodic lattice model for a single species in a patchy environment, which has age structure and an infinite number of patches connected locally by diffusion. By appealing to the theory of asymptotic speed of propagation and monotonic periodic semiflows for travelling waves, we establish the existence of periodic travelling wave and spreading speed of the model. |
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| Keywords: | lattice delay differential system periodic travelling wave spreading speed |
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