On a nonlinear delay population model

作者:

Highlights:

• We investigate uniform permanence of positive solutions of nonlinear delay equations.

• In several examples we give explicit estimates for lower and upper limit of solutions.

• We give conditions which imply that all solutions are asymptotically equivalent.

摘要

•We investigate uniform permanence of positive solutions of nonlinear delay equations.•In several examples we give explicit estimates for lower and upper limit of solutions.•We give conditions which imply that all solutions are asymptotically equivalent.

论文关键词:Delay differential equations,Population models,Persistence,Asymptotic behavior

论文评审过程:Received 11 April 2015, Revised 20 July 2015, Accepted 20 August 2015, Available online 14 September 2015, Version of Record 14 September 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.08.090