  We analysis some singular partial differential equations systems(PDAEs) with
boundary conditions in high dimension bounded domain with sufficiently smooth
boundary. With the eigenvalue theory of PDE the systems initially is formulated
as an infinite-dimensional singular systems. The state space description of the
system is built according to the spectrum structure and convergence analysis of
the PDAEs. Some global stability results are provided. The applicability of the
proposed approach is evaluated in numerical simulations on some wetland
conservation system with social behaviour.
