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Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence
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UNSPECIFIED. (2005) Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence. JOURNAL OF MATHEMATICAL BIOLOGY, 51 (4). pp. 414-430. ISSN 0303-6812
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Official URL: http://dx.doi.org/10.1007/s00285-005-0331-9
Abstract
In this paper we analyze the dynamics of two families of epidemiological models which correspond to transitions from the SIR (susceptible-infectious-resistant) to the SIS (susceptible-infectious-susceptible) frameworks. In these models we assume that the force of infection is a nonlinear function of density of infectious individuals, I. Conditions for the existence of backwards bifurcations, oscillations and Bogdanov-Takens points are given.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QH Natural history > QH301 Biology |
| Journal or Publication Title: | JOURNAL OF MATHEMATICAL BIOLOGY |
| Publisher: | SPRINGER |
| ISSN: | 0303-6812 |
| Date: | October 2005 |
| Volume: | 51 |
| Number: | 4 |
| Number of Pages: | 17 |
| Page Range: | pp. 414-430 |
| Identification Number: | 10.1007/s00285-005-0331-9 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/34503 |
Data sourced from Thomson Reuters' Web of Knowledge
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