AI 中文总结
研究由接近零阶非局部算子驱动、具混合边界条件的方程以建模生物系统，通过对非线性反应项等做不同假设，建立种群生存状态存在性的相关结果。
AI 中文摘要
本文研究了一个由“接近零”阶非局部算子驱动的方程，其具有混合狄利克雷 - 诺伊曼边界条件，对一个生物系统进行建模。该生物系统由在封闭环境中自我竞争资源且经历极重尾扩散过程的种群组成。我们建立了几个关于种群能够生存的状态存在性的结果，这需要对非线性反应项以及狄利克雷或诺伊曼条件成立的集合的各种配置做出不同假设。
英文摘要
In this paper we study an equation driven by a non-local operator of order "near zero" with mixed Dirichlet-Neumann boundary conditions, modelling a biological system consisting of a population self-competing for resources in a closed environment and subject to an extremely heavy-tailed dispersal process. We establish several results concerning the existence of states in which the population can survive requiring different assumptions on the non-linear reaction term and on the various configurations of the sets where the Dirichlet or Neumann conditions hold.
Comments28 pages, comments welcome
