Global dynamics of a Beddington–DeAngelis amensalism system with weak Allee effect on the first species

作者:

Highlights:

• We study the global dynamics for a Beddington–DeAngelis amensalism model.

• We treat the maximum value (which per capita reduction rate of the first species) as a bifurcation parameter.

• We derive two conditions for two transcritical bifurcations.

• We offer the global phase portraits of this system.

• We comprise weak Allee effect on the harmed species.

摘要

•We study the global dynamics for a Beddington–DeAngelis amensalism model.•We treat the maximum value (which per capita reduction rate of the first species) as a bifurcation parameter.•We derive two conditions for two transcritical bifurcations.•We offer the global phase portraits of this system.•We comprise weak Allee effect on the harmed species.

论文关键词:A two species Beddington–DeAngelis amensalism system,Bifurcation and global dynamics,Strong Allee effect on the second species,Weak Allee effect on the first species

论文评审过程:Received 12 January 2021, Revised 8 April 2021, Accepted 25 April 2021, Available online 2 June 2021, Version of Record 2 June 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126368