西南师范大学学报（自然科学版）
西南師範大學學報（自然科學版）
서남사범대학학보（자연과학판）
JOURNAL OF SOUTHWEST CHINA NORMAL UNIVERSITY
2015年
1期
1-5
,共5页
Hassell-Varley型功能反应函数%恒化器%It?公式%随机有界性%稳定性
Hassell-Varley型功能反應函數%恆化器%It?公式%隨機有界性%穩定性
Hassell-Varley형공능반응함수%항화기%It?공식%수궤유계성%은정성
Hassell-Varley functional response%chemostat%It? formula%stochastic ultimate boundedness%stability
考虑到稀释率受随机噪声的影响，研究了一类具有Hassell-Varley型功能反应函数的随机恒化器模型。运用随机微分方程比较原理证明了模型正解的全局存在唯一性。通过构造Lyapunov函数，利用It?公式得到了随机有界性和绝灭平衡点的全局随机渐近稳定性的充分条件，研究了随机系统围绕确定性系统正平衡点的振荡行为。
攷慮到稀釋率受隨機譟聲的影響，研究瞭一類具有Hassell-Varley型功能反應函數的隨機恆化器模型。運用隨機微分方程比較原理證明瞭模型正解的全跼存在唯一性。通過構造Lyapunov函數，利用It?公式得到瞭隨機有界性和絕滅平衡點的全跼隨機漸近穩定性的充分條件，研究瞭隨機繫統圍繞確定性繫統正平衡點的振盪行為。
고필도희석솔수수궤조성적영향，연구료일류구유Hassell-Varley형공능반응함수적수궤항화기모형。운용수궤미분방정비교원리증명료모형정해적전국존재유일성。통과구조Lyapunov함수，이용It?공식득도료수궤유계성화절멸평형점적전국수궤점근은정성적충분조건，연구료수궤계통위요학정성계통정평형점적진탕행위。
A stochastic Chemostat model with Hassell-Varley functional response has been considered ,in which the dilution rate was influenced by white noises .By comparison theorem of stochastic equations and It?formula ,it is shown that there is a unique positive solution to the system .Moreover ,the sufficient conditions for some population dynamical properties including the stochastic ultimate boundedness and the stochastically asymptotic stability of the washout equilibrium have been obtained .Furthermore ,it is also show n how the solution spirals around the positive equilibrium of deterministic system .
