Travelling wave solutions for Kolmogorov-type delayed lattice reaction–diffusion systems

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題名:	Travelling wave solutions for Kolmogorov-type delayed lattice reaction–diffusion systems
作者:	Yang, Ting-Hui;Hsu, Cheng-Hsiung;Lin, Jian-Jhong
貢獻者:	淡江大學數學學系
關鍵詞:	travelling wave solutions;upper–lower solution;delayed lattice reaction–diffusion systems;Kolmogorov-type
日期:	2015-10-01
上傳時間:	2014-11-27 06:49:33 (UTC+8)
出版者:	Oxford University Press
摘要:	This work investigates the existence and non-existence of travelling wave solutions for Kolmogorov-type delayed lattice reaction–diffusion systems. Employing the cross iterative technique coupled with the explicit construction of upper and lower solutions in the theory of quasimonotone dynamical systems, we can find two threshold speeds c∗ and c∗ with c∗≥c∗>0. If the wave speed is greater than c∗, then we establish the existence of travelling wave solutions connecting two different equilibria. On the other hand, if the wave speed is smaller than c∗, we further prove the non-existence result of travelling wave solutions. Finally, several ecological examples including one-species, two-species and three-species models with various functional responses and time delays are presented to illustrate the analytical results.
關聯:	IMA Journal of Applied Mathematics 80 (5), pp.1336-1367
DOI:	10.1093/imamat/hxu054
顯示於類別:	[數學學系暨研究所] 期刊論文

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