Introduction Sexually transmitted infections (STIs) such as chlamydia, gonorrhoea, trichomoniasis, and syphilis, are associated with adverse birth outcomes.Treatment should be accompanied by partner services to prevent re-infection and break cycles of transmission.Partner services include the processes of partner notification (PN) as well as arrang
A mathematical investigation of an "SVEIR" epidemic model for the measles transmission
A generalized "SVEIR" epidemic model with general nonlinear incidence rate has been proposed as a candidate model for measles virus dynamics.The basic reproduction number $ mathcal{R} $, an important epidemiologic index, was calculated using the next generation matrix method.The existence and uniqueness of the steady states, namely, disease-free eq
Quasilocal conservation laws in XXZ spin-1/2 chains: Open, periodic and twisted boundary conditions
A continuous family of quasilocal exact conservation laws is constructed in the anisotropic Heisenberg (XXZ) spin-1/2 chain for periodic (or twisted) boundary conditions and for a set of commensurate anisotropies densely covering the entire easy plane interaction regime.All local conserved operators follow from the standard (Hermitian) transfer ope