dc.contributor.author Agarwal, Ravi P. dc.contributor.author O'Regan, Donal dc.contributor.author Wong, Patricia J. Y. dc.date.accessioned 2018-08-24T08:23:58Z dc.date.available 2018-08-24T08:23:58Z dc.date.issued 2006-01-01 dc.identifier.citation Agarwal, 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.issn 1446-1811,1446-8735 dc.identifier.uri http://hdl.handle.net/10379/8810 dc.description.abstract We 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.publisher Cambridge University Press (CUP) dc.relation.ispartof The ANZIAM Journal dc.rights Attribution-NonCommercial-NoDerivs 3.0 Ireland dc.rights.uri https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ dc.subject periodic solutions dc.subject integral equations dc.subject epidemics dc.subject fixed point theorems dc.subject fredholm integral-equations dc.subject positive solutions dc.subject differential-equations dc.subject infectious-disease dc.subject threshold theorem dc.subject system dc.subject existence dc.title On constant-sign periodic solutions in modelling the spread of interdependent epidemics dc.type Article dc.identifier.doi 10.1017/s144618110000986x dc.local.publishedsource https://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 nui.item.downloads 0
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