Work

Permanence and extinction of a high-dimensional stochastic resource competition model with noise

Year: 2018

Type: article

Abstract: In this paper, we investigate the asymptotic behavior for a kind of resource competition model with environmental noises. Considering the impact of white noise on birth rate and death rate separately, we first prove the existence of a positive solution, and then a sufficient condition to maintain permanence and extinction is obtained by using a proper Lyapunov functional, stochastic comparison theorem, strong law of large numbers for martingales, and several important inequalities. Furthermore, the stochastic final boundedness and path estimation are studied. Finally, the fact that the intensity of white noise has a very important influence on the permanence and extinction of the system’s solution is illustrated by some numerical examples.

Source: Advances in Difference Equations

DOI: 10.1186/s13662-018-1891-5

Authors: Li Wang, Xiaoqiang Wang, Qimin Zhang

Institutions: Ningxia University, Florida State University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: gold

Estimated APC paid: $1,790

Funder: National Natural Science Foundation of China