@article {34112,
	title = {Global stability for infectious disease models that include immigration of infected individuals and delay in the incidence},
	journal = {Electronic Journal of Differential Equations},
	volume = {2018},
	year = {2018},
	pages = {1-14},
	abstract = {We begin with a detailed study of a delayed SI model of disease transmission with immigration into both classes. The incidence function allows for a nonlinear dependence on the infected population, including mass action and saturating incidence as special cases. Due to the immigration of infectives, there is no disease-free equilibrium and hence no basic reproduction number. We show there is a unique endemic equilibrium and that this equilibrium is globally asymptotically stable for all parameter values. The results include vector-style delay and latency-style delay. Next, we show that previous global stability results for an SEI model and an SVI model that include immigration of infectives and non-linear incidence but not delay can be extended to systems with vector-style delay and latency-style delay.},
	author = {Chelsea Uggenti and Connell C. McCluskey}
}
