Backward bifurcations, turning points and rich dynamics in simple disease models

Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission

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Veterinary Medicine, Infectious Diseases, Compartmental Modeling +16

Introduction to Applied Nonlinear Dynamical Systems and Chaos

Stephen Wiggins, D.S. Mazel · Computers in Physics · 1990 · 3.9K citations

Natural Sciences, Systems Engineering, Complex Systems +11

A generalization of the Kermack-McKendrick deterministic epidemic model

Vincenzo Capasso, Gabriella Serio · Mathematical Biosciences · 1978 · 1.3K citations

Veterinary Medicine, Infectious Disease Control, Infectious Diseases +12

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 · 877 citations

Veterinary Medicine, Biostatistics, Infectious Diseases +12

Global stability for the SEIR model in epidemiology

Michael Y. Li, James S. Muldowney · Mathematical Biosciences · 1995 · 828 citations

Public Health, Health Sciences, Epidemiologic Methods +5