Dynamic analysis of effects of phytoplankton dispersal on zooplankton

Advances in Difference Equations

Chengguang Luo¹  Lin Shen¹  Zhong Zhao¹ 

[1] School of Mathematics and Statistics, Huanghuai University, Zhumadian, P.R. China

关键词: nonlinear measure of intra-species interference;    impulsive dispersal;    global attractivity;    permanence;    34C05;    92D25;   

DOI  :  10.1186/s13662-016-0981-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we formulate a delayed phytoplankton-zooplankton model with impulsive diffusion on phytoplankton. Using the discrete dynamical system determining the stroboscopic map, we obtain the zooplankton-extinction periodic solution which is globally attractive. The conditions of the permanence are given by using the theory on the delay and impulsive differential equation. Finally, some numerical simulations are presented to illustrate the results.

【 授权许可】

CC BY