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

Manuel Delgado, Giovany M. Figueiredo, Marcos T.O. Pimenta, Antonio Suárez

DOI: http://dx.doi.org/10.12775/TMNA.2016.026

Abstract


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.

Keywords


Logistic equation; local and non-local terms; bifurcation methods

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