Dynamic Properties of a Stochastic Predator-prey System with Hassell-Varley Functional Response

DONG-WEI HUANG, FU-YUE CHENG, YU LI, JIAN-GUO TAN, YONG-FENG GUO, YONG LIU

Abstract


The dynamic properties of a stochastic predator-prey system with assell-Varley functional response is investigated in this paper. A Lyapunov function is established to analyze existence of the unique positive solution to the system for any positive initial value. We can draw a conclusion that the positive solution is stochastically bounded. At the end, some figures are presented to illustrate the main results.

Keywords


Predator-prey model, Hassell-Varley functional response, Stochastic boundedness, Global positive solution.


DOI
10.12783/dteees/epee2017/18152

Refbacks

  • There are currently no refbacks.