Banner

On a nonlinear delay population model

Applied Mathematics and Computation • 2015
العودة
معلومات البحث
المؤلفون Istvan Gyoria, Ferenc Hartunga, Nahed A. Mohamady
الكلمات المفتاحية Delay Differential Equations, Population Models, Persistence, Asymptotic Behaviour
المجلة العلمية Applied Mathematics and Computation
الناشر elsevier
المجلد 270
العدد 1
الصفحات 909 - 925
publication.type International
رابط البحث Open Link
المواد المرفقة Not Available
الملخص
A 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.