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- Title
Dynamical behavior of a competitive system under the influence of random disturbance and toxic substances.
- Authors
Wu, Ruihua; Zou, Xiaoling; Wang, Ke
- Abstract
A two-species competitive system under the influence of random disturbance and toxic substances is studied theoretically and numerically. The existence of a stationary distribution, extinction, and stability of this model are considered. Our results show that both the environmental disturbance and toxic substances can destabilize biological populations. A set of sufficient conditions which guarantee that one of the species is driven to extinction while the other is stable in the mean is illustrated. Numerical simulations are also presented to illustrate the feasibility of our main results.
- Subjects
POISONS; BIOLOGICAL extinction; STOCHASTIC systems; COMPETITION (Biology); SPECIES diversity; COMPUTER simulation
- Publication
Nonlinear Dynamics, 2014, Vol 77, Issue 4, p1209
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-014-1371-8