Staff Members - Benha University
On a nonlinear delay population model
Applied Mathematics and Computation • 2015
Publication Information
Authors
Istvan Gyoria, Ferenc Hartunga, Nahed A. Mohamady
Keywords
Delay Differential Equations, Population Models, Persistence,
Asymptotic Behaviour
Journal
Applied Mathematics and Computation
Publisher
elsevier
Volume
270
Issue
1
Pages
909 - 925
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
nonlinear delay differential equation
is considered. Sufficient conditions are established for the uniform permanence
of the positive solutions of the equation. In several particular cases, explicit
formulas are given for the upper and lower limit of the solutions. In some
special cases, we give conditions which imply that all solutions have the same
asymptotic behavior, in particular, when they converge to a periodic or constant
steady-state. Our equation contains the logistic equation in mathematical ecology which is a prototype
in modeling the dynamics of single species population systems
is considered. Sufficient conditions are established for the uniform permanence
of the positive solutions of the equation. In several particular cases, explicit
formulas are given for the upper and lower limit of the solutions. In some
special cases, we give conditions which imply that all solutions have the same
asymptotic behavior, in particular, when they converge to a periodic or constant
steady-state. Our equation contains the logistic equation in mathematical ecology which is a prototype
in modeling the dynamics of single species population systems