Spreading speeds and traveling waves in competitive recursion systems |
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Authors: | Email author" target="_blank">Guo?LinEmail author Wan-Tong?Li Shigui?Ruan |
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Institution: | 1.School of Mathematics and Statistics,Lanzhou University,Lanzhou,People’s Republic of China;2.Department of Mathematics,University of Miami,Coral Gables,USA |
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Abstract: | 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. |
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Keywords: | |
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