Convergence of solutions of nonlinear systems with integrable forcing term and its applications to a biological model

Applied Mathematics and Computation Volume 219 Issue 15 Page 8169-8177 published_at 2013-04
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Title
Convergence of solutions of nonlinear systems with integrable forcing term and its applications to a biological model
Creator
Source Title
Applied Mathematics and Computation
Volume 219
Issue 15
Start Page 8169
End Page 8177
Journal Identifire
ISSN 00963003
Descriptions
A non-autonomous nonlinear system with a time-variational forcing term is considered.For such a system, the global attraction of the origin is discussed, whose result is suggestive to an ecological problem as well because the system is reduced to a Lotka-Volterra predator-prey model with prey receiving an environmental time-variation by an appropriate transformation. A numerical simulation is also shown to suggest a new mathematical insight beyond our intuition.
Subjects
Global attraction ( Other)
Predator-prey systems ( Other)
Weakly integrally positive ( Other)
Time-variation ( Other)
Language
eng
Resource Type journal article
Publisher
Elsevier
Date of Issued 2013-04
Rights
Copyright © 2013 Elsevier Inc. All rights reserved.
Publish Type Accepted Manuscript
Access Rights open access
Relation
[DOI] 10.1016/j.amc.2013.02.023
[NCID] AA00543329