Survival analysis of an impulsive stochastic facultative mutualism system with saturation effect  

作　　者：Siyu Chen Zhijun Liu Ronghua Tan Lianwen Wang 

机构地区：[1]Department of Mathematics,Hubei Minzu University,445000 Enshi Hubei,P.R.China

出　　处：《International Journal of Biomathematics》2021年第2期169-187,共19页生物数学学报（英文版）

摘　　要：A system of impulsive stochastic differential equations is proposed as a two-species facultative mutualism model subject to impulsive and two coupling noise source perturbations,in which the saturation effect is taken into account.A set of sufficient criteria for extinction(exponential extinction and extinction)and permanence(permanence in time average and stochastic permanence)of the system are established.Extensive simulation figures are demonstrated to support the theoretical findings.Meanwhile,we look at the effects of coupling white noises,impulses,intrinsic growth rates,intra-specific competition rates and inter-specific mutualism rates on the survival of populations.

关 键 词：Facultative mutualism model coupling white noises IMPULSES EXTINCTION PERMANENCE 

分 类 号：O17[理学—数学]