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

Delgado, Manuel; Figueiredo, Giovany M.; Pimenta, Marcos T. O. [UNESP]; Suárez, Antonio

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

Arquivos

2-s2.0-84978777030.pdf (449 KB)

Data

2016-06-01

Autores

Delgado, Manuel

Figueiredo, Giovany M.

Pimenta, Marcos T. O.

Suárez, Antonio

Tipo

Artigo

Direito de acesso

Acesso aberto

Resumo

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.