Publication: Periodicity and knots in delay models of population growth
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Issued Date
2008-02-01
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ISSN
08957177
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2-s2.0-38149035164
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Mahidol University
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SCOPUS
Bibliographic Citation
Mathematical and Computer Modelling. Vol.47, No.3-4 (2008), 259-265
Suggested Citation
Dang Vu Giang, Yongwimon Lenbury Periodicity and knots in delay models of population growth. Mathematical and Computer Modelling. Vol.47, No.3-4 (2008), 259-265. doi:10.1016/j.mcm.2007.04.002 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/19144
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Title
Periodicity and knots in delay models of population growth
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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.