FRONT PROPAGATION
; CONVERGENCE
; EQUATION
; SYSTEM
; SHIFTS
; RESPONSES
WOS学科分类:
Mathematics, Applied
WOS研究方向:
Mathematics
英文摘要:
The existence and asymptotics of forced traveling wave front in a Lotka-Volterra cooperative system under climate change are concerned in this paper. By constructing appropriate upper and lower solutions combined with the monotone iteration scheme, we show that for any given positive speed of the shifting habitat edge, there exists a nondecreasing wave front with the speed consistent with the habitat shifting speed, which indicates that no matter how moderate of the habitat shifts, two species will still be driven to extinction as the mutualistic effects exist but weak. Numerical simulations are also given to illustrate our results. (C) 2019 Elsevier Inc. All rights reserved.
1.Sun Yat Sen Univ, Sch Elect & Informat Technol, Guangzhou 510006, Guangdong, Peoples R China 2.Foshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China 3.Tianjin Univ Technol, Dept Math, Tianjin 300384, Peoples R China
Recommended Citation:
Yang, Yong,Wu, Chufen,Li, Zunxian. Forced waves and their asymptotics in a Lotka-Volterra cooperative model under climate change[J]. APPLIED MATHEMATICS AND COMPUTATION,2019-01-01,353:254-264