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2008-Abramson-Mathematical modeling of the spread of infectious diseases

Author(s): Guillermo Abramson

NA

Keywords: infectious disease epidemic cowpox smallpox complex networks

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Abstract

Resource Image These are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field. The practical use of these models is based on the fact that they can be kept realistic enough.

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Abramson, Guillermo. 2008.  Mathematical modeling of the spread of infectious diseases. A series of lectures given at PANDA, UNM

https://www.semanticscholar.org/paper/Mathematical-modeling-of-the-spread-of-infectious-Abramson/938da251d4b0152d7f27175d54a0e595dc5258d9  . Accessed 27 March 2023.

These are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field.

Outline of introduction:
The practical use of these models is based on the fact that they can be kept realistic enough. Of course, this doesn't mean to include every possible detail, but rather of every major mechanism.

Bernoulli 1760 nonlinear ordinary differential equation. Effect of cowpox inoculation on the spread of smallpox.

The initial plan is to discuss nonextended models in Section 1, and ex- tended models in Section 2. These constitute the classical theory of epidemic spread. Section 3 introduces complex networks, and epidemics on complex networks in Section 4.

Keywords: infectious disease, epidemic, cowpox, smallpox, complex networks

 

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Author(s): Guillermo Abramson

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