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Abstract: We extend Floquet theory for reducing nonlinear periodic difference systems to autonomous ones (actually linear) by using normal form theory. [Copyright &y& Elsevier]

In this paper we prove smooth conjugate theorems of Sternberg type for almost periodic differential systems, based on the Lyapunov exponents of the corresponding reduced systems. [ABSTRACT FROM AUTHOR]

Abstract: In this paper we consider an epidemic model, which is a reduced SIRS model with a constant removal rate of the infective individuals, for its qualitative properties which were not revealed in [W. Wang, S. Ruan, Bifurcations in an epidemic model with constant removal rate of the refectives, J. Math. Anal. Appl. 291 (2004) 775–793]. We first prove the uniqueness of closed orbits if they exist for this epidemic model. Then we discuss the qualitative properties of equilibria at infinity for global tendencies. Therefore, global dynamical behaviors of this system are obtained in the end. [Copyright &y& Elsevier]