  In this paper, we study the non-Hermitian physics emerging from a
predator-prey ecological model described by a generalized Lotka-Volterra
equation. In the phase space, this nonlinear equation exhibits both chaotic and
localized dynamics, which are separated by a critical point. These distinct
dynamics originate from the interplay between the periodicity and
non-Hermiticity of the effective Hamiltonian in the linearized equation of
motion. Moreover, the dynamics at the critical point, such as algebraic
divergence, can be understood as an exceptional point in the context of
non-Hermitian physics.
