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dc.contributor.authorAgarwal, Ravi P.
dc.contributor.authorO'Regan, Donal
dc.contributor.authorWong, Patricia J. Y.
dc.date.accessioned2018-08-24T08:23:58Z
dc.date.available2018-08-24T08:23:58Z
dc.date.issued2006-01-01
dc.identifier.citationAgarwal, Ravi P. O'Regan, Donal; Wong, Patricia J. Y. (2006). On constant-sign periodic solutions in modelling the spread of interdependent epidemics. The ANZIAM Journal 47 , 309-332
dc.identifier.issn1446-1811,1446-8735
dc.identifier.urihttp://hdl.handle.net/10379/8810
dc.description.abstractWe consider the following model that describes the spread of n types of epidemics which are interdependent on each other: u(i)(t) = integral(t)(t-r) g(i)(t, s) f(i) (s, u(1)(s), u(2)(s),..., u(n)(s))ds, t is an element of R, 1 <= i <= n. Our aim is to establish criteria such that the above system has one or multiple constant-sign periodic solutions (u(1), u(2),..., u(n)), that is, for each 1 <= i <= n, u(i) is periodic and theta(i)u(i) >= 0 where theta(i) is an element of {1, -1} is fixed. Examples are also included to illustrate the results obtained.
dc.publisherCambridge University Press (CUP)
dc.relation.ispartofThe ANZIAM Journal
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectperiodic solutions
dc.subjectintegral equations
dc.subjectepidemics
dc.subjectfixed point theorems
dc.subjectfredholm integral-equations
dc.subjectpositive solutions
dc.subjectdifferential-equations
dc.subjectinfectious-disease
dc.subjectthreshold theorem
dc.subjectsystem
dc.subjectexistence
dc.titleOn constant-sign periodic solutions in modelling the spread of interdependent epidemics
dc.typeArticle
dc.identifier.doi10.1017/s144618110000986x
dc.local.publishedsourcehttps://www.cambridge.org/core/services/aop-cambridge-core/content/view/F007E7538D9EB6C3E4CB3D838801BBFC/S144618110000986Xa.pdf/div-class-title-on-constant-sign-periodic-solutions-in-modelling-the-spread-of-interdependent-epidemics-div.pdf
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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