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