Parabolic logistic equation with harvesting involving the fractional Laplacian

被引：0
作者：
Chhetri, Maya [1 ]
Girg, Petr [2 ,3 ]
Hollifield, Elliott [4 ]
Kotrla, Lukas [2 ,3 ]
机构：
[1] Univ North Carolina Greensboro, Dept Math & Stat, Greensboro, NC 27402 USA
[2] Univ West Bohemia, Fac Appl Sci, Dept Math, Univ 8, CZ-30100 Plzen, Czech Republic
[3] Univ West Bohemia, Fac Appl Sci, NTIS, Univ 8, CZ-30100 Plzen, Czech Republic
[4] Univ North Carolina Pembroke, Dept Math & Comp Sci, Pembroke, NC 28372 USA
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2024年 / 31卷 / 06期
关键词：
Fractional Laplacian; Parabolic; Logistic; Harvesting; Sub- and supersolution; POPULATION; REGULARITY; EXISTENCE;
D O I：
10.1007/s00030-024-00992-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a class of parabolic reaction-diffusion equations driven by the fractional Laplacian as the diffusion operator over a bounded domain with zero Dirichlet external condition. Using a comparison principle and monotone iteration method, we establish existence and uniqueness results. We apply the existence result to the logistic growth problems with constant yield harvesting by constructing an ordered pair of positive sub- and supersolution of the corresponding elliptic problem.
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收藏
页数：25
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