Global attractivity of an almost periodic N-species nonlinear ecological competitive model

By using comparison theorem and constructing suitable Lyapunov functional, we study the following almost periodic nonlinear N-species competitive Lotka–Volterra model: ˙xi (t) = xi (t) ri (t) − N j=1 aij (t)x αij j (t)− N j=1 bij (t)x αij j t −τij (t) − N j=1 cij (t)x αii i (t)x αij j (t) . A set of sufficient conditions is obtained for the existence and global attractivity of a unique positive almost periodic solution of the above model. As applications, some special competition models are studied again, our new results improve and generalize former results. Examples and their simulations show the feasibility of our main results. © 2007 Elsevier Inc. All rights reserved.