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DC Field | Value | Language |
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dc.contributor.author | Hussaini, N | - |
dc.contributor.author | Winter, M | - |
dc.date.accessioned | 2014-02-17T10:20:10Z | - |
dc.date.available | 2014-02-17T10:20:10Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Journal of Statistical Mechanics: Theory and Experiment, vol 2010, Article number P11019, 2010 | en_US |
dc.identifier.issn | 1742-5468 | - |
dc.identifier.uri | http://iopscience.iop.org/1742-5468/2010/11/P11019/ | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/8029 | - |
dc.description | This is the post-print version of the final published paper that is available from the link below. Copyright @ 2010 IOP Publishing Ltd and SISSA. | en_US |
dc.description.abstract | We consider a susceptible–infected–removed (SIR) epidemic model with two types of nonlinear treatment rates: (i) piecewise linear treatment rate with saturation effect, (ii) piecewise constant treatment rate with a jump (Heaviside function). For case (i), we compute travelling front solutions whose profiles are heteroclinic orbits which connect either the disease-free state to an infective state or two endemic states with each other. For case (ii), it is shown that the profile has the following properties: the number of susceptibles is monotonically increasing and the number of infectives approaches zero at infinity, while their product converges to a constant. Numerical simulations are performed for all these cases. Abnormal behaviour like travelling waves with non-monotonic profile or oscillations is observed. | en_US |
dc.language | English | - |
dc.language.iso | en | en_US |
dc.publisher | IOP Publishing Ltd | en_US |
dc.subject | Epidemic modelling | en_US |
dc.subject | Dynamics (theory) | en_US |
dc.subject | Population dynamics (experiment) | en_US |
dc.subject | Population dynamics (theory) | en_US |
dc.title | Travelling waves for an epidemic model with non-smooth treatment rates | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1088/1742-5468/2010/11/P11019 | - |
pubs.organisational-data | /Brunel | - |
pubs.organisational-data | /Brunel/Brunel Active Staff | - |
pubs.organisational-data | /Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths | - |
pubs.organisational-data | /Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths/Maths | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Brunel Institute for Ageing Studies | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Centre for Systems and Synthetic Biology | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Information Systems, Computing and Mathematics - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Information Systems, Computing and Mathematics - URCs and Groups/Brunel Institute of Computational Mathematics | - |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
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