Study of a logistic equation with local and non-local reaction terms

• Author(s): Delgado, Manuel ; Figueiredo, Giovany M. ; Pimenta, Marcos T. O. [UNESP] ; Suárez, Antonio
• Date: 2018
• Persistent ID: http://hdl.handle.net/11449/173248
• Origin: Oasisbr
• Subject(s): Bifurcation methods; Local and non-local terms; Logistic equation
• Document Type: Journal article
• Language: English

Description

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Ministerio de Economía y Competitividad

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.

Dpto. de Ecuaciones Diferenciales y Análisis Numérico Fac. de Matemáticas Univ. de Sevilla, C. Tarfia s/n

Universidade Federal do Pará Faculdade de Matemática

Departamento de Matemática e Computação Faculdade de Ciências e Tecnologia – Unesp

Departamento de Matemática e Computação Faculdade de Ciências e Tecnologia – Unesp

FAPESP: 2012/20160-0

FAPESP: 2014/16136-1

FAPESP: CNPQ 442520/2014-0