Publication: Periodicity and knots in delay models of population growth
dc.contributor.author | Dang Vu Giang | en_US |
dc.contributor.author | Yongwimon Lenbury | en_US |
dc.contributor.other | Hanoi Institute of Mathematics | en_US |
dc.contributor.other | Mahidol University | en_US |
dc.date.accessioned | 2018-07-12T02:24:46Z | |
dc.date.available | 2018-07-12T02:24:46Z | |
dc.date.issued | 2008-02-01 | en_US |
dc.description.abstract | Recently, we investigated the effect of delay on the asymptotic behavior of the model over(x, ̇) + x = f (x ({dot operator} - τ)) of population growth, when the nonlinearity f is a unimodal function. Now we prove that for large delay, there are several nonconstant (positive) periodic solutions. We also use knots theory to study periodic solutions with period 3 τ. Some of our results do not rely on the continuity of f and thus are applicable to wider range of biological problems in which the growth functions are piecewise continuous. © 2007 Elsevier Ltd. All rights reserved. | en_US |
dc.identifier.citation | Mathematical and Computer Modelling. Vol.47, No.3-4 (2008), 259-265 | en_US |
dc.identifier.doi | 10.1016/j.mcm.2007.04.002 | en_US |
dc.identifier.issn | 08957177 | en_US |
dc.identifier.other | 2-s2.0-38149035164 | en_US |
dc.identifier.uri | https://repository.li.mahidol.ac.th/handle/20.500.14594/19144 | |
dc.rights | Mahidol University | en_US |
dc.rights.holder | SCOPUS | en_US |
dc.source.uri | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=38149035164&origin=inward | en_US |
dc.subject | Computer Science | en_US |
dc.subject | Decision Sciences | en_US |
dc.subject | Engineering | en_US |
dc.subject | Mathematics | en_US |
dc.title | Periodicity and knots in delay models of population growth | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication | |
mu.datasource.scopus | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=38149035164&origin=inward | en_US |