Dynamical analysis of a stochastic three-species predator–prey system with distributed delays

Advances in Difference Equations

Yuanfu Shao¹  Jinxing Zhao² 

[1] College of Science, Guilin University of Technology, 541004, Guilin, China;School of Mathematical Sciences, Inner Mongolia University, 010021, Hohhot, China;

关键词: Distributed delay;    Stability in mean;    Distribution;    Simulation;    34A37;    92B05;   

DOI  :  10.1186/s13662-021-03493-8

来源: Springer

【 摘 要 】

A stochastic two-prey one-predator system with distributed delays is proposed in this paper. Firstly, applying the linear chain technique, we transform the predator–prey system with distributed delays to an equivalent system with no delays. Then, by use of the comparison method and the inequality technique, we investigate the stability in mean and extinction of species. Further, by constructing some suitable functionals, using M-matrix theory and three important lemmas, we establish sufficient conditions assuring the existence of distribution and the attractivity of solutions. Finally, some numerical simulations are given to illustrate the main results.

【 授权许可】

CC BY