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.

引用

页码：693 / 713

页数：21

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