In general, population systems are often subject to environmental noise. To examine whether the presence of such noise affects these systems significantly, this paper perturbs the Lotka Volterra system into the corresponding stochastic system This paper obtains one condition under which the above stochastic system with probability one. This reveals that the sufficiently large noise may make the population extinct.
|Pages (from-to)||275 - 288|
|Number of pages||14|
|Journal||Discrete and Continuous Dynamical Systems - Series B|
|Publication status||Published - 2010|