A study of nonlocal spatially heterogeneous logistic equation with harvesting

被引：1

作者：

Biswas, Anup ^{[1
]}

Modasiya, Mitesh ^{[1
]}

机构：

[1] Indian Inst Sci Educ & Res, Dept Math, Dr Homi Bhabha Rd, Pune 411008, Maharashtra, India

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 214卷

关键词：

Bernstein functions of the Laplacian; Nonlocal semipositone problems; Long time behaviour; Nonlocal Fisher-KPP; Bifurcation; Variable order nonlocal kernel; DIRICHLET HEAT KERNEL; POSITIVE SOLUTIONS; PRINCIPAL EIGENVALUE; FRACTIONAL LAPLACIAN; OPERATORS; LEVY; REGULARITY; DYNAMICS; UNIQUENESS; DIFFUSION;

D O I：

10.1016/j.na.2021.112599

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a class of nonlocal reaction-diffusion equations with a harvesting term where the nonlocal operator is given by a Bernstein function of the Laplacian. In particular, it includes the fractional Laplacian, fractional relativistic operators, sum of fractional Laplacians of different order etc. We study the existence, uniqueness and multiplicity results of the solutions to the steady state equation. We also consider the parabolic counterpart and establish the long time asymptotic of the solutions. Our proof techniques rely on both analytic and probabilistic arguments. (C) 2021 Elsevier Ltd. All rights reserved.

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页数：28

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