Xu, C.-G. and Chen, D.-X. (2011) Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and Impulse. International Journal of Differential Equations, 2011, Article ID: 259805.

has been cited by the following article:

• TITLE: Uniform Persistence, Periodicity and Extinction in a Delayed Biological System with Stage Structure and Density-Dependent Juvenile Birth Rate

  AUTHORS: Limin Zhang, Chaofeng Zhang

  KEYWORDS: Uniform Persistence, Periodicity, Extinction, Density Dependence, Stage Structure

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.6 No.2, June 20, 2016

  ABSTRACT: A delayed biological system of predator-prey interaction with stage structure and density dependent juvenile birth rate is investigated. It is assumed that the prey population has two stages: immature and mature. The growth of the immature prey is density dependent and is a function of the density of adult prey. Such phenomenon has been reported for beetles, tribolium, copepods, scorpions, several fish species and even crows. The growth of the predator is affected by the time delay due to gestation. By some Lemmas and methods of delay differential equation, the conditions for the uniform persistence and extinction of the system are obtained. Numerical simulations illustrate the feasibility of the main results and demonstrate that the density dependent coefficient has influence on the system populations’ densities though it has no effect on uniform persistence and extinction of the system.