In this paper, the global stability analysis of pertussis model with maternally derived immunity is studied. The qualitatively analysed to investigate asymptotic behavior respect equilibria. Using Lyapunov function method, pertussis-free equilibrium determined be globally asymptotically stable when associated basic reproduction number less than unity. Furthermore, study also extended prove exis...

Propositions represent the entities from which they are formed. This fact has puzzled philosophers and some have put forward radical proposals in order to explain it. paper develops a primitivist account of representational properties propositions that centers on operation application. As we will see, this theory wins out over its competitors grounds strength, systematicity unifying power.

Lepton flavor violation in the Randall-Sundrum model with bulk neutrinos is considered. Grossman and Neubert recently proposed that the existence of tiny neutrino masses and large mixing could be explained by the presence of the bulk neutrinos in the Randall-Sundrum background. Since the zero mode wave functions of the bulk neutrinos are localized on Planck brane, the Dirac Yukawa couplings on ...

REMARK . The requirement that / be an odd prime can be dropped if K is totally imaginary. The groups on the right of (1.1) are continuous /-adic étale cohomology groups. Recall that Z//(l) denotes the sheaf of ^th roots of unity, Z/P(i) = (Z//(l))®, and Z,(0 = Hmv Z/l (i). D. Quillen has conjectured the existence of isomorphisms of type (1.1). B. Harris and G. Segal [4] have shown that (1.1) is...