title: The effect of time delay in a two-patch model with random dispersal.
abstract: We consider a two-patch model for a single species with dispersal and time delay. For some explicit range of dispersal rates, we show that there exists a critical value τc for the time delay τ such that the unique positive equilibrium of the system is locally asymptotically stable for τ ∈[0,τc) and unstable for τ > τc .
authors.affiliation: Mathematical Biosciences Institute, The Ohio State University, Ohio, 43210, USA, liao.92@mbi.osu.edu.
authors.forename: Kang-Ling
authors.initials: KL
authors.lastname: Liao
authors.forename: Yuan
authors.initials: Y
authors.lastname: Lou
mesh_terms: D000818:Animals; D004777:Environment; D020387:Food Chain; D016015:Logistic Models; D055641:Mathematical Concepts; D008954:Models, Biological; D017711:Nonlinear Dynamics; D011157:Population Dynamics; D013997:Time Factors