论文标题
关于两种延迟化学反应网络的稳定性
On Stability of Two Kinds of Delayed Chemical Reaction Networks
论文作者
论文摘要
对于与复杂平衡系统进行线性共轭的网络，延迟版本可能包括两个类别的网络：一个类仍是与延迟的复杂平衡网络线性共轭的，另一个类别不是。在本文中，我们证明了第一类网络的存在，并强调了相对于某个定义的不变集的局部渐近稳定性。对于第二类系统，我们定义了一个特殊的子类，并得出了子类的局部渐近稳定性。提供了两个示例来说明我们的结果。
For the networks that are linear conjugate to complex balanced systems, the delayed version may include two classes of networks: one class is still linear conjugate to the delayed complex balanced network, the other is not. In this paper, we prove the existence of the first class of networks, and emphasize the local asymptotic stability relative to a certain defined invariant set. For the second class of systems, we define a special subclass and derive the local asymptotic stability for the subclass. Two examples are provided to illustrate our results.
