Dynamics of a new delayed stage-structured predator-prey model with impulsive diffusion and releasing

Advances in Difference Equations

Limei Li¹  Shaohong Cai²  Jianjun Jiao² 

[1] School of Continuous Education, Guizhou University of Finance and Economics, Guiyang, P.R. China;School of Mathematics and Statistics, Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, P.R. China

关键词: delayed stage structure;    predator-prey model;    impulsive diffusion;    impulsive releasing;    prey-extinction;   

DOI  :  10.1186/s13662-016-1038-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this work, we propose a new delayed stage-structured predator-prey model with impulsive diffusion and releasing. By the stroboscopic map of the discrete dynamical system, we obtain a prey-extinction boundary periodic solution. Furthermore, we prove that the prey-extinction boundary periodic solution is globally attractive. We also prove that the investigated system is permanent by the theory on the delay and impulsive differential equations. Our results indicate that time delay, impulsive diffusion, and impulsive releasing have influence to the dynamical behaviors of the investigated system. The results of this paper also provide a tactical basis for pest management.

【 授权许可】

CC BY