Spreading speeds and traveling waves in competitive recursion systems.
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.
Lin
Guo
G
School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, Gansu, People's Republic of China. ling@lzu.edu.cn
Li
Wan-Tong
WT
Ruan
Shigui
S
D003163:Competitive Behavior; D058865:Introduced Species / Q000706:statistics & numerical data; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted; D011156:Population Density; D011157:Population Dynamics