Asymmetric diffusion in a two-patch consumer-resource system

作者:

Highlights:

• A consumer-resource model is extended from symmetric to asymmetric diffusion.

• Global dynamics of the subsystem are exhibited.

• Heterogeneously distributed resources with asymmetric diffusion can support high population size.

• Intermediate asymmetry is favorable for total population abundance.

• The results reverse previous theory with symmetric diffusion and coincide with real observation.

摘要

•A consumer-resource model is extended from symmetric to asymmetric diffusion.•Global dynamics of the subsystem are exhibited.•Heterogeneously distributed resources with asymmetric diffusion can support high population size.•Intermediate asymmetry is favorable for total population abundance.•The results reverse previous theory with symmetric diffusion and coincide with real observation.

论文关键词:Uniform persistence,Consumer-resource model,Spatially distributed population,Diffusion,Liapunov stability

论文评审过程:Received 22 January 2019, Revised 16 May 2019, Accepted 27 May 2019, Available online 8 June 2019, Version of Record 8 June 2019.

论文官网地址:https://doi.org/10.1016/j.amc.2019.05.035