Liu W M, van den Driessche P
Department of Mathematical Sciences, Indiana University-Purdue University at Indianapolis, USA.
Math Biosci. 1995 Jul-Aug;128(1-2):57-69. doi: 10.1016/0025-5564(94)00067-a.
Two epidemiological models in a variable-size population are considered. Both have a dose-dependent latent period that depends on the proportion of infectious individuals in the population. In the SEIS model, the proportion of infectious individuals tends to either zero or a stable endemic value. In the SEIRS model, for diseases that confer temporary immunity, periodicity can arise by a Hopf bifurcation.