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Bifurcation Chaos"],"published-print":{"date-parts":[[2016,3]]},"abstract":"<jats:p> This paper is concerned with the existence of fast traveling waves connecting an equilibrium and a periodic orbit in a delayed population model with stage structure on a two-dimensional spatial lattice, under the assumption that the corresponding ODEs have heteroclinic orbits connecting an equilibrium point and a periodic solution. In this work, we rewrite the mixed functional differential equation as an integral equation in a Banach space and analyze the corresponding linear operator. Our approach eventually reduces a singular perturbation problem to a regular perturbation problem. The existence of traveling wave solution therefore is obtained by using the Liapunov\u2013Schmidt method and implicit function theorem. <\/jats:p>","DOI":"10.1142\/s0218127416500498","type":"journal-article","created":{"date-parts":[[2016,4,6]],"date-time":"2016-04-06T03:23:16Z","timestamp":1459912996000},"page":"1650049","source":"Crossref","is-referenced-by-count":4,"title":["Traveling Waves Connecting Equilibrium and Periodic Orbit for a Delayed Population Model on a Two-Dimensional Spatial Lattice"],"prefix":"10.1142","volume":"26","author":[{"given":"Cui-Ping","family":"Cheng","sequence":"first","affiliation":[{"name":"School of Science, Shanghai Institute of Technology, Shanghai 201418, P. R. China"}]},{"given":"Wan-Tong","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, P. R. 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