【摘要】 为了研究毒素影响下具有反馈控制的两种群互利共生合作系统的稳定性,利用Jacobi矩阵和选择合适的Lyapunov函数证明了系统正平衡点和边界平衡点的局部稳定性和全局稳定性.结果表明:系统存在正平衡点时,反馈控制不影响正平衡点的稳定性,只改变正平衡点的位置.更多还原

【Abstract】 The stability of a mutually-beneficial symbiosis survival cooperative system with feedback control under the influence of toxins is analyzed,and the local and global stability of the positive and boundary balance of the system are proved by Jacobi matrix and the appropriate Lyapunov function. The results show that:When the system has a balance point,the feedback control does not affect the stability of the positive point,but only changes the position of the positive point.更多还原