Dynamic Behaviors of a Competitive System with Beddington-DeAngelis Functional Response

This article studies a competitive system with Beddington-DeAngelis functional response and establishes sufficient conditions on permanence, partial extinction, and the existence of a unique almost periodic solution for the system. The results supplement and generalize the main conclusions in recent literature. Numerical simulations have been presented to validate the analytical results.

[2]  Zhijun Liu,et al.  Uniformly Asymptotic Stability of Positive Almost Periodic Solutions for a Discrete Competitive System , 2013, J. Appl. Math..

[3]  Fengde Chen,et al.  Almost periodic solution of a modified Leslie–Gower predator–prey model with Holling-type II schemes and mutual interference , 2014 .

[4]  Fengde Chen,et al.  Dynamic Behaviors of a Nonautonomous Impulsive Competitive System with the Effect of Toxic Substance , 2018 .

[5]  K. Gopalsamy.  Stability and Oscillations in Delay Differential Equations of Population Dynamics , 1992 .

[6]  Jianhua Wu,et al.  Coexistence and partial extinction in a delay competitive system subject to impulsive harvesting and stocking , 2010 .

[7]  Fengde Chen,et al.  Note on the permanence of a competitive system with infinite delay and feedback controls , 2007 .

[8]  Shengbin Yu.  Permanence for a discrete competitive system with feedback controls , 2015 .

[9]  Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System , 2015 .

[10]  Zhijun Liu,et al.  An almost periodic competitive system subject to impulsive perturbations , 2014, Appl. Math. Comput..

[11]  Fengde Chen,et al.  Influence of single feedback control variable on an autonomous Holling-II type cooperative system , 2016 .

[12]  Qin Yue,et al.  Extinction for a discrete competition system with the effect of toxic substances , 2016 .

[13]  Qinglong Wang,et al.  Positive Almost Periodic Solutions for a Discrete Competitive System Subject to Feedback Controls , 2013, J. Appl. Math..

[14]  A. Fink.  Almost Periodic Differential Equations , 1974 .

[15]  Extinction for a discrete competition system with feedback controls , 2017 .

[16]  Robert A. Cheke,et al.  Existence and global asymptotic stability of positive almost periodic solutions of a two-species competitive system , 2014 .

[18]  Wenjie Qin,et al.  Permanence and Global Stability of Positive Periodic Solutions of a Discrete Competitive System , 2009 .

[19]  Antonio Tineo.  Asymptotic behaviour of positive solutions of the nonautonomous Lotka-Volterra competition equations , 1993 .

[20]  Jiandong Zhao,et al.  The qualitative analysis of N-species nonlinear prey-competition systems , 2004, Appl. Math. Comput..

[21]  Fengde Chen,et al.  Extinction in two species nonautonomous nonlinear competitive system , 2016, Appl. Math. Comput..