Analytic semigroups generated by the dispersal process in two habitats incorporating individual behavior at the interface

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:471

Article

Favini, Angelo¹  Labbas, Rabah²  Medeghri, Ahmed³  Menad, Abdallah³ 

[1] Univ Bologna, Dipartimento Matemat, Piazza Porta S Donato 5, I-40126 Bologna, Italy

[2] Normandie Univ, UNIHAVRE, LMAH, CNRS,FR 3335, F-76600 Le Havre, France

[3] Univ Abdelhamid Ibn Badis, Lab Math Pures & Appl, Mostaganem 27000, Algeria

关键词: Population dynamics;    Dispersal process;    Diffusion equation;    Buffer zones;    Semigroups;   

DOI  :  10.1016/j.jmaa.2018.10.085

来源: Elsevier

【 摘 要 】

In this work we study an elliptic differential equation set in two habitats which models a linear stationary case of dispersal problems of population dynamics incorporating responses at interfaces between the habitats. We prove that this operator generates an analytic semigroup in an adapted space of Holder-continuous functions. (C) 2018 Published by Elsevier Inc.

【 授权许可】

Free