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Methods of Small Parameter in Mathematical BiologyThe Tikhonov Theorem in Some Models of Mathematical Biosciences

Methods of Small Parameter in Mathematical Biology: The Tikhonov Theorem in Some Models of... [In this chapter we discuss some applications of the Tikhonov theorem to models presented in Chap. 1. We provide a rigorous derivation of the Allee model from a system of mass-action type population equations and discuss an SIS epidemiological model with vital processes in which the latter act on a much slower timescale than the disease. This chapter is concluded with an analysis of a predator–prey model with prey being able to move between geographical patches at a fast rate.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Methods of Small Parameter in Mathematical BiologyThe Tikhonov Theorem in Some Models of Mathematical Biosciences

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Publisher
Springer International Publishing
Copyright
© Springer International Publishing Switzerland 2014
ISBN
978-3-319-05139-0
Pages
105 –141
DOI
10.1007/978-3-319-05140-6_4
Publisher site
See Chapter on Publisher Site

Abstract

[In this chapter we discuss some applications of the Tikhonov theorem to models presented in Chap. 1. We provide a rigorous derivation of the Allee model from a system of mass-action type population equations and discuss an SIS epidemiological model with vital processes in which the latter act on a much slower timescale than the disease. This chapter is concluded with an analysis of a predator–prey model with prey being able to move between geographical patches at a fast rate.]

Published: Mar 11, 2014

Keywords: Allee model; SIS model; Predator–prey model

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