具有非单调功能性反应和Allee效应的偏利种群模型研究

A commensal symbiosis model with non-monotonic functional response and Allee effect

提出具有非单调功能性反应和第二个种群具有Allee效应的偏利种群模型,探讨了系统的持久性和平衡点的局部稳定性,借助Dulac判别法证得了系统的唯一正平衡点是全局稳定的.研究表明,Allee效应不改变种群的平衡位置和稳定性.

A two species commensal symbiosis model with non-monotonic functional response and Allee effect on the second species is proposed and studied.We show the permanence of the system and the local stability property of the equilibrium. By applying Dulac criterion, we show that the unique positive equilibrium of the system is globally asymptotically stable.Allee effect has no influence on the final density of the species.