【摘要】 本文考虑随机Gompertz种群竞争模型。证明在有限的时间内,环境的扰动不会导致种群的爆发。另外,本文运用比较准则,Lyapunov方法证明在一定的条件下,随机微分方程解的存在唯一性及全局渐近稳定性。更多还原

【Abstract】 This paper considers a stochastic Gompertz population’s competition model.It shows that the population dose not explode to infinity in a finite time.In addition,this paper uses the comparison principle,Lyapunov method to show when the condition is hold,the existence,uniqueness and global asymptotic stability of the solution of the stochastic differential equation.更多还原