Globally Asymptotic Stability of a Delayed Integro-Differential Equation With Nonlocal Diffusion

Weng, Peixuan ; Liu, Li

Canadian mathematical bulletin, Tome 60 (2017) no. 2, pp. 436-448

Résumé

We study a population model with nonlocal diffusion, which is a delayed integro-differential 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.

Détail

DOI : 10.4153/CMB-2016-091-0

Mots-clés : 45J05, 35K57, 92D25, integro-differential equation, nonlocal diffusion, equilibrium, globally asymptotic stability, population model with age structure

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