CAJ | 학술논문

对具有反馈控制的广义Logistic和Richars模型进行定性分析。分析了平衡点的局部稳定性，用Dulac判据法证明了系统不存在极限环，进一步证明了系统唯一的正平衡点是全局渐近稳定的。通过引入反馈控制量，使得系统的平衡态小于环境容纳量，从而避免了以往模型的不足。
대구유반궤공제적엄의Logistic화Richars모형진행정성분석。분석료평형점적국부은정성，용Dulac판거법증명료계통불존재겁한배，진일보증명료계통유일적정평형점시전국점근은정적。통과인입반궤공제량，사득계통적평형태소우배경용납량，종이피면료이왕모형적불족。
In this paper, the Logistic and Richards models with feedback controls were investigated. This paper analyzed lo- cal stability of the equilibriums. By using Dulac function, proved that the system didn＇ t exist limit - cycles. It shows that the positive equilibrium of system, which is smaller than capacity of environment, is globally asymptotically stable.