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 and with If the wave speed is greater than then we establish the existence of travelling wave solutions connecting two different equilibria. On the other hand, if the wave speed is smaller than 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. 出版日期： 2015-10-01 出處： IMA journal of applied mathematics, 2015-10, Vol.80 (5), p.1336-1367 識別號： ISSN: 0272-4960 識別號： EISSN: 1464-3634 識別號： DOI: 10.1093/imamat/hxu054
