期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2004
卷号：2004
DOI：10.1155/S0161171204406577
出版社：Hindawi Publishing Corporation
摘要：First we deal with a brief introduction of the
autotroph-herbivore model system along with deterministic analysis
of local stability, bifurcation behavior, and persistence of the
populations. The second part consists of the stochastic formulation of
the model system to incorporate the effect of environmental
fluctuation and then analysis of nonequilibrium fluctuation.
Stochastic stability criteria of the model system under the
influence of random environmental fluctuation are obtained through
the convergence conditions of second-order moments.
