STUDY OF A LOGISTIC EQUATION WITH LOCAL AND NON-LOCAL REACTION TERMS

被引：5
|
作者：
Delgado, Manuel [1 ]
Figueiredo, Giovany M. [2 ]
Pimenta, Marcos T. O. [3 ]
Suarez, Antonio [1 ]
机构：
[1] Univ Seville, Fac Matemat, Dpto Ecuac Diferenciales & Anal Numer, C Tarfia S-N, E-41012 Seville, Spain
[2] Fed Univ Para, Fac Matemat, BR-66075110 Belem, Para, Brazil
[3] UNESP, Fac Ciencias & Tecnol, Dept Matemat & Comp, BR-19060900 Presidente Prudente, SP, Brazil
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2016年 / 47卷 / 02期
基金：
巴西圣保罗研究基金会;
关键词：
Logistic equation; local and non-local terms; bifurcation methods; POSITIVE SOLUTIONS; BIFURCATION DIAGRAMS; BLOW-UP; DIFFUSION; MULTIPLICITY;
D O I：
10.12775/TMNA.2016.026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We examine a logistic equation with local and non-local reaction terms both for time dependent and steady-state problems. Mainly, we use bifurcation and monotonicity methods to prove the existence of positive solutions for the steady-state equation and sub-supersolution method for the long time behavior for the time dependent problem. The results depend strongly on the size and sign of the parameters on the local and non-local terms.
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页码：693 / 713
页数：21
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