Periodic transmission and vaccination effects in epidemic dynamics: a study using the SIVIS model

A contribution to the mathematical theory of epidemics

W. O. Kermack, A. G. McKendrick · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · 1927 · 12K citations · Full text

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

P. van den Driessche, James Watmough · Mathematical Biosciences · 2002 · 9.9K citations

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The Mathematical Theory of Optimal Processes

M. L. Chambers, L. S. Pontryagin, V. G. Boltyanskiĭ et al. · OR · 1965 · 3.3K citations

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Dynamical Models of Tuberculosis and Their Applications

Carlos Castillo‐Chávez, Baojun Song · Mathematical Biosciences & Engineering · 2004 · 2K citations · Full text

Public Health, Infectious Disease Control, Infectious Diseases +17

Optimal control theory: An introduction

W.S. Levine · IEEE Transactions on Automatic Control · 1972 · 1.6K citations

Natural Sciences, Mathematics, Dynamical Systems +11