  In this paper we consider the stability for a type of stochastic
McKean-Vlasov equations with non-Lipschitz coefficients. First, sufficient
conditions are given for the exponential stability of the second moments for
their solutions in terms of a Lyapunov function. Then we weaken the conditions
and furthermore obtain exponentially 2-ultimate boundedness of their solutions.
After this, the almost surely asymptotic stability of their solutions is
proved. Finally we give an example to motivate the choice of Lyapunov
functions.
