The structural identifiability of the susceptible infected recovered model with seasonal forcing
UNSPECIFIED. (2005) The structural identifiability of the susceptible infected recovered model with seasonal forcing. MATHEMATICAL BIOSCIENCES, 194 (2). pp. 175-197. ISSN 0025-5564Full text not available from this repository.
Official URL: http://dx.doi.org/10.1016/j.mbs.20004.10.011
In this paper, it is shown that the SIR epidemic model, with the force of infection subject to seasonal variation, and a proportion of either the prevalence or the incidence measured, is unidentifiable unless certain key system parameters are known, or measurable. This means that an uncountable number of different parameter vectors can, theoretically, give rise to the same idealised output data. Any subsequent parameter estimation from real data must be viewed with little confidence as a result. The approach adopted for the structural identifiability analysis utilises the existence of an infinitely differentiable transformation that connects the state trajectories corresponding to parameter vectors that give rise to identical output data. When this approach proves computationally intractable, it is possible to use the converse idea that the existence of a coordinate transformation between states for particular parameter vectors implies indistinguishability between these vectors from the corresponding model outputs. (c) 2005 Elsevier Inc. All rights reserved.
|Item Type:||Journal Article|
|Subjects:||Q Science > QH Natural history > QH301 Biology|
|Journal or Publication Title:||MATHEMATICAL BIOSCIENCES|
|Publisher:||ELSEVIER SCIENCE INC|
|Official Date:||April 2005|
|Number of Pages:||23|
|Page Range:||pp. 175-197|
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