caa a22 4500 44533052X CHVBK 20180317142735.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s00285-010-0334-z doi (NATIONALLICENCE)springer-10.1007/s00285-010-0334-z Spreading speeds and traveling waves in competitive recursion systems [Elektronische Daten] [Guo Lin, Wan-Tong Li, Shigui Ruan] This paper is concerned with the spreading speeds and traveling wave solutions of discrete time recursion systems, which describe the spatial propagation mode of two competitive invaders. We first establish the existence of traveling wave solutions when the wave speed is larger than a given threshold. Furthermore, we prove that the threshold is the spreading speed of one species while the spreading speed of the other species is distinctly slower compared to the case when the interspecific competition disappears. Our results also show that the interspecific competition does affect the spread of both species so that the eventual population densities at the coexistence domain are lower than the case when the competition vanishes. Springer-Verlag, 2010 Comparison principle nationallicence Upper and lower solutions nationallicence Traveling waves nationallicence Spreading speeds nationallicence Competitive invaders nationallicence Lin Guo School of Mathematics and Statistics, Lanzhou University, 730000, Lanzhou, Gansu, People's Republic of China aut Li Wan-Tong School of Mathematics and Statistics, Lanzhou University, 730000, Lanzhou, Gansu, People's Republic of China aut Ruan Shigui Department of Mathematics, University of Miami, P. O. Box 249085, 33124-4250, Coral Gables, FL, USA aut Journal of Mathematical Biology Springer-Verlag 62/2(2011-02-01), 165-201 0303-6812 62:2<165 2011 62 285 https://doi.org/10.1007/s00285-010-0334-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0334-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lin Guo School of Mathematics and Statistics, Lanzhou University, 730000, Lanzhou, Gansu, People's Republic of China aut NATIONALLICENCE 700 1- Li Wan-Tong School of Mathematics and Statistics, Lanzhou University, 730000, Lanzhou, Gansu, People's Republic of China aut NATIONALLICENCE 700 1- Ruan Shigui Department of Mathematics, University of Miami, P. O. Box 249085, 33124-4250, Coral Gables, FL, USA aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 62/2(2011-02-01), 165-201 0303-6812 62:2<165 2011 62 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer