We consider nonautonomous N-dimensional generalized Lotka-Volterra competition systems. Under certain conditions we show that there exists a unique solution u* whose components are bounded above and below by positive constants on R, and u* attracts any solution. If such system is periodic, so is u*.
arXiv: Quantitative Biology::Populations and EvolutionNonlinear Sciences::Exactly Solvable and Integrable Systems
free text keywords: Lotka-Volterra systems, Nonautonomous system, competition system, permanence