贺州学院学报
賀州學院學報
하주학원학보
JOURNAL OF HEZHOU UNIVERSITY
2015年
1期
143-148
,共6页
时滞%Logistic模型%Lyapunov函数%核函数
時滯%Logistic模型%Lyapunov函數%覈函數
시체%Logistic모형%Lyapunov함수%핵함수
time delay%Logistic model%Lyapunov function%Kernel function
研究了一类具有强时滞的Logistic单种群模型。首先，得出系统存在一致持久性条件和全局吸引的条件；其次，给出具体的核函数，通过链变换把模型转化为定常的二维系统和三维系统，利用线性近似方程和Routh-Hurwitz准则分析该系统平衡点的稳定性。
研究瞭一類具有彊時滯的Logistic單種群模型。首先，得齣繫統存在一緻持久性條件和全跼吸引的條件；其次，給齣具體的覈函數，通過鏈變換把模型轉化為定常的二維繫統和三維繫統，利用線性近似方程和Routh-Hurwitz準則分析該繫統平衡點的穩定性。
연구료일류구유강시체적Logistic단충군모형。수선，득출계통존재일치지구성조건화전국흡인적조건；기차，급출구체적핵함수，통과련변환파모형전화위정상적이유계통화삼유계통，이용선성근사방정화Routh-Hurwitz준칙분석해계통평형점적은정성。
In this paper, Logistic single population model with strong time delay is investigated. First, the condition of system uniform persistence and global appeal; Second, gives a specific kernel function, through the chain of transform the model into time-invariant system of two-dimensional and three-dimensional system, using the linear approximation equation and Routh Hurwitz criterion analyze the stability of the system balance.
