Globally Asymptotic Stability of a Delayed Integro-Differential Equation With Nonlocal Diffusion
| Autor: | Li Liu, Peixuan Weng |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Integrable system
General Mathematics 010102 general mathematics Mathematical analysis Analytical technique Zero (complex analysis) 01 natural sciences 010101 applied mathematics Nonlinear system Population model Exponential stability Integro-differential equation 0101 mathematics Diffusion (business) Mathematics |
| Zdroj: | Canadian Mathematical Bulletin. 60:436-448 |
| ISSN: | 1496-4287 0008-4395 |
| DOI: | 10.4153/cmb-2016-091-0 |
| Popis: | We study a population model with nonlocal diòusion, which is a delayed integro-diòerential equation with double nonlinearity and two integrable kernels. By comparison method and analytical technique, we obtain globally asymptotic stability of the zero solution and the positive equilibrium. The results obtained reveal that the globally asymptotic stability only depends on the property of nonlinearity. As an application, we discuss an example for a population model with age structure. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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