Analysis and structure of stability on the interconnected Lotka-Volterra system for species

Using a suitable coordinated transformation, generalized Lotka-Volterra (LV) system is transformed to a canonical format. Based on the obtained model, stability of LV system with interconnected structure constrains is analysed, and relative results on stability are given. It also provides a new method to structure stability of this system, that is, in the framework of inclusion principle, the system is decomposed in the expanded space as a group of pair-wise subsystems, we can find the Liapunov function for each pair-wise subsystem, then find the Liapunov function of the whole system which can make the system stabilization.