Paper Info
Title
Dynamics of a Stochastic Three-Species Food Web Model with Omnivory and Ratio-Dependent Functional Response
Abstract
This paper is concerned with a stochastic three-species food web model with omnivory which is defined as feeding on more than one trophic level. The model involves a prey, an intermediate predator, and an omnivorous top predator. First, by the stochastic comparison theorem, we show that there is a unique global positive solution to the model. Next, we investigate the asymptotic pathwise behavior of the model. Then, we conclude that the model is persistent in mean and extinct and discuss the stochastic persistence of the model. Further, by constructing a suitable Lyapunov function, we establish sufficient conditions for the existence of an ergodic stationary distribution to the model. Then, we present the application of the main results in some special models. Finally, we introduce some numerical simulations to support the main results obtained. The results in this paper generalize and improve the previous related results.
Year
DOI
Venue
2019
10.1155/2019/4876165
COMPLEXITY
DocType
Volume
ISSN
Journal
2019
1076-2787
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Guirong Liu100.68
Rong Liu200.34