Stability of solutions of an equation governing dynamics of a renewable resource subject to additive Allee effect

In this paper, by using the upper and lower solution method, we have studied the existence and asymptotic behaviour of periodic solutions of the equationdxdt=x1-xK(t)-η(t)1+m(t)x,which is the model of a renewable resource subject to additive Allee effect.

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Bibliographic Details
Published inApplied mathematics and computation Vol. 247; pp. 631 - 638
Main Authors Padhi, Seshadev, Pati, Smita
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.11.2014
Subjects
Additive Allee effect
Additives
Asymptotic properties
Asymptotic stability
Computation
Dynamics
Mathematical analysis
Mathematical models
Periodic solutions
Renewable resources
Stability
Upper–lower solutions
Asymptotic stability
Upper–lower solutions
Periodic solutions
Additive Allee effect
Online AccessGet full text
ISSN0096-3003
1873-5649
DOI10.1016/j.amc.2014.09.022

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Summary:In this paper, by using the upper and lower solution method, we have studied the existence and asymptotic behaviour of periodic solutions of the equationdxdt=x1-xK(t)-η(t)1+m(t)x,which is the model of a renewable resource subject to additive Allee effect.
Bibliography:ObjectType-Article-1
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content type line 23
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.09.022