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Dr. Nahed Abdel Fattah Mohamady :: Publications: |
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| Title: | On a nonlinear delay population model |
| Authors: | Istvan Gyoria, Ferenc Hartunga, Nahed A. Mohamady |
| Year: | 2015 |
| Keywords: | Delay Differential Equations, Population Models, Persistence, Asymptotic Behaviour |
| Journal: | Applied Mathematics and Computation |
| Volume: | 270 |
| Issue: | 1 |
| Pages: | 909 - 925 |
| Publisher: | elsevier |
| Local/International: | International |
| Paper Link: | |
| Full paper | Nahed Abdel Fattah Mohamady_gyori_hartung_mohamady_revised.pdf |
| 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 |
