A simple SIS epidemic model with a backward bifurcation

Infectious diseases of humans

Adrian Hall · Transactions of the Royal Society of Tropical Medicine and Hygiene · 1992 · 2.2K citations

Malaria, Disease Outbreak, Infectious Disease +17

Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models

Wei min Liu, Simon A. Levin, Yoh Iwasa · Journal of Mathematical Biology · 1986 · 860 citations

Infectious Disease Epidemiology, Sirs Epidemiological Models, Epidemiological Trend +9

Some epidemiological models with nonlinear incidence

H. W. Hethcote, P. van den Driessche · Journal of Mathematical Biology · 1991 · 390 citations

Nonlinear Incidence, Epidemiological Outcome, Computational Epidemiology +2

Backwards bifurcations and catastrophe in simple models of fatal diseases

Jonathan Dushoff, Wenzhang Huang, Carlos Castillo‐Chávez · Journal of Mathematical Biology · 1998 · 321 citations

Infectious Disease Modelling, Backwards Bifurcations, Epidemiological Dynamic +3

Epidemiological models for heterogeneous populations: proportionate mixing, parameter estimation, and immunization programs

Herbert W. Hethcote, James W. Van Ark · Mathematical Biosciences · 1987 · 283 citations

Vaccination, Infectious Disease Epidemiology, Infectious Disease Modelling +11