S-I-R model with directed spatial diffusion

Fabio A. Milner; Ruijun Zhao

doi:10.1080/08898480802221889

S-I-R model with directed spatial diffusion

Fabio A. Milner, Ruijun Zhao

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

A S-I-R epidemic model is described in which susceptible individuals move away from foci of infection, and all individuals move away from overcrowded regions. It consists of hyperbolic partial differential equations, the sum of these equations being parabolic. Positivity and regularity of solutions are discussed and finite time blow-up of some solutions is illustrated through numerical simulations. A numerical test of the finite time blow-up of solutions is proposed.

Original language	English (US)
Pages (from-to)	160-181
Number of pages	22
Journal	Mathematical population studies
Volume	15
Issue number	3
DOIs	https://doi.org/10.1080/08898480802221889
State	Published - Jul 2008
Externally published	Yes

Keywords

Directed spatial diffusion
Finite time blow-up
S-I-R

ASJC Scopus subject areas

Demography
Geography, Planning and Development
Agricultural and Biological Sciences(all)

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10.1080/08898480802221889

Cite this

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abstract = "A S-I-R epidemic model is described in which susceptible individuals move away from foci of infection, and all individuals move away from overcrowded regions. It consists of hyperbolic partial differential equations, the sum of these equations being parabolic. Positivity and regularity of solutions are discussed and finite time blow-up of some solutions is illustrated through numerical simulations. A numerical test of the finite time blow-up of solutions is proposed.",

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AU - Zhao, Ruijun

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AB - A S-I-R epidemic model is described in which susceptible individuals move away from foci of infection, and all individuals move away from overcrowded regions. It consists of hyperbolic partial differential equations, the sum of these equations being parabolic. Positivity and regularity of solutions are discussed and finite time blow-up of some solutions is illustrated through numerical simulations. A numerical test of the finite time blow-up of solutions is proposed.

KW - Directed spatial diffusion

KW - Finite time blow-up

KW - S-I-R

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S-I-R model with directed spatial diffusion

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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