N-species non-autonomous Lotka–Volterra competitive systems with delays and impulsive perturbations

Publication year: 2011
Source: Nonlinear Analysis: Real World Applications, In Press, Corrected Proof, Available online 14 June 2011

Long, Zhang , Zhidong, Teng

In this paper, a class of non-autonomous N-species Lotka–Volterra-type competitive system with time delays and impulsive perturbations is investigated. New criteria on coexistence and global attractivity for all species other than some inclining to extinction are established. From our results, we find that the extinction of some species due to competition exclusion and weak adaption to a stochastically variable environment characterized by impulsive perturbations is necessary for the coexistence and global attractivity of other survivors in a limited resource ecosystem. Meanwhile, the dynamic behaviors of competition models with impulse perturbations are more complicated and different from prior research results obtained…