The stability of a predator-prey system with linear mass-action functional response perturbed by white noise
Open Access
- 18 February 2016
- journal article
- research article
- Published by Springer Science and Business Media LLC in Advances in Difference Equations
- Vol. 2016 (1), 1-24
- https://doi.org/10.1186/s13662-016-0776-8
Abstract
The present paper deals with the problem of an ecoepidemiological model with linear mass-action functional response perturbed by white noise. The essential mathematical features are analyzed with the help of the stochastic stability, its long time behavior around the equilibrium of deterministic ecoepidemiological model, and the stochastic asymptotic stability by Lyapunov analysis methods. Numerical simulations for a hypothetical set of parameter values are presented to illustrate the analytical findings.Keywords
Funding Information
- the Scientific and Technological Research Project of Jilin Province's Education Department (2015, No. 10, 2014, No. 294)
- Program for NSFC of China (11371085)
- the Fundamental Research Funds for the Central Universities (15CX08011A)
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