Dynamic behaviors of a nonlinear amensalism model

作者：Wu, Runxin^*

来源：Advances in Difference Equations, 2018, 2018(1): 187.

DOI：10.1186/s13662-018-1624-9

• Amensalism model
• Differential inequality theory
• Global stability

A nonlinear amensalism model of the form dN1/dt = r(1)N(1) (1-(N-1/P-1)alpha(1) - u(N-2/p(1))alpha(2)), dN(2)/dt = r(2)N(2)(1-(N2P2)(alpha 3)), @@@ where ri,Pi,u,i = 1,2,alpha(1),alpha(2),alpha(3) are all positive constants, is proposed and studied in this paper. The dynamic behaviors of the system are determined by the sign of the term 1 - u(P-2/P-1)(alpha 2).if 1 - u(P-2/P-1)(alpha 2) > 0, then the unique positive equilibrium D(N-1*,N-2*) is globally attractive, if 1 - u(P-2/P-1)(alpha 2) < 0, then the boundary equilibrium C(O,P-2) is globally attractive. Our results supplement and complement the main results of Xiong, Wang, and Zhang (Advances in Applied Mathematics 5(2):255-261, 2016).

• 出版日期2018-5-18
• 单位福建工程学院