Forced waves and their asymptotics in a Lotka–Volterra cooperative model under climate change
作者:
Highlights:
• In the real world, the habitat for a biological species is often temporally nonautonomous and spatially heterogeneous.
• Climate changes naturally lead to the habitats for biological species become highly spatial heterogeneity.
• Those species that fail to respond effectively to habitat shifts induced by climate change underwent a risk of extinction.
• Traveling waves can describe species to expand their ranges polewards or up elevation to track the climatic change.
摘要
•In the real world, the habitat for a biological species is often temporally nonautonomous and spatially heterogeneous.•Climate changes naturally lead to the habitats for biological species become highly spatial heterogeneity.•Those species that fail to respond effectively to habitat shifts induced by climate change underwent a risk of extinction.•Traveling waves can describe species to expand their ranges polewards or up elevation to track the climatic change.
论文关键词:Lotka–Volterra cooperative system,Climate change,Heterogeneity,Forced wave front
论文评审过程:Received 5 October 2018, Revised 19 January 2019, Accepted 28 January 2019, Available online 22 February 2019, Version of Record 22 February 2019.
论文官网地址:https://doi.org/10.1016/j.amc.2019.01.058