dc.contributor.author |
Garba, Salisu M.
|
|
dc.contributor.author |
Safi, Mohammad A.
|
|
dc.contributor.author |
Gumel, Abba B.
|
|
dc.date.accessioned |
2013-02-20T06:58:49Z |
|
dc.date.available |
2013-02-20T06:58:49Z |
|
dc.date.issued |
2013-06 |
|
dc.description.abstract |
A new deterministic model for the transmission dynamics of two strains of in-
uenza is designed and used to qualitatively assess the role of cross-immunity on
the transmission process. It is shown that incomplete cross-immunity could in-
duce the phenomenon of backward bifurcation when the associated reproduction
number is less than unity. The model undergoes competitive exclusion (where
Strain i drives out Strain j to extinction whenever R0i > 1 > R0j ; i; j =
1; 2; i ̸= j). For the case where infection with one strain confers complete im-
munity against infection with the other strain, it is shown that the disease-free
equilibrium of the model is globally-asymptotically stable whenever the repro-
duction number is less than unity. In the absence of cross-immunity, the model
can have a continuum of co-existence endemic equilibria (which is shown to be
globally-asymptotically stable for a special case). When infection with one strain
confers incomplete immunity against the other. Numerical simulations of the
model show that the two strains co-exist, with Strain i dominating (but not
driving out Strain j), whenever R0i > R0j > 1. |
en_US |
dc.description.librarian |
am2013 |
en_US |
dc.description.uri |
http://www.elsevier.com/locate/nonrwa |
en_US |
dc.identifier.citation |
Garba, SM, Safi, MA & Gumel, AB 2013, 'Cross-immunity-induced backward bifurcation for a model of transmission dynamics of two strains of influenza', Nonlinear Analysis: Real World Applications, vol. 14, no. 3, pp. 1384-1403. |
en_US |
dc.identifier.issn |
1468-1218 |
|
dc.identifier.other |
10.1016/j.nonrwa.2012.10.003 |
|
dc.identifier.uri |
http://hdl.handle.net/2263/21129 |
|
dc.language.iso |
en |
en_US |
dc.publisher |
Elsevier |
en_US |
dc.rights |
© 2012 Elsevier. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Nonlinear Analysis: Real World Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Nonlinear Analysis: Real World Applications, vol. 14, issue 3, 2013, doi: 10.1016/j.nonrwa.2012.10.003. |
en_US |
dc.subject |
Cross-immunity |
en_US |
dc.subject |
Multiple strains |
en_US |
dc.subject |
Equilibria |
en_US |
dc.subject |
Co-existence |
en_US |
dc.subject |
Stability |
en_US |
dc.title |
Cross-immunity-induced backward bifurcation for a model of transmission dynamics of two strains of influenza |
en_US |
dc.type |
Postprint Article |
en_US |