| publication name | 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 | http://dx.doi.org/10.1016/j.amc.2015.08.090 |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
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.