Article
Study of a logistic equation with local and non-local reaction terms
Author/s | Delgado Delgado, Manuel
Malcher Figueiredo, Giovany de Jesus Oliveira Pimenta, Marcos Tadeu de Suárez Fernández, Antonio ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2016-06 |
Deposit Date | 2016-12-01 |
Published in |
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Abstract | In this work we examine a logistic equation with local and nonlocal reaction terms both for time dependent and steady-state problems. Mainly, we use bifurcation and monotonicity methods to prove the existence of positive ... In this work we examine a logistic equation with local and nonlocal 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. |
Project ID. | info:eu-repo/grantAgreement/MINECO/MTM2012-31304
![]() 301242/2011-9 ![]() 200237/2012-8 ![]() 2012/20160-0 ![]() 2014/16136-1 ![]() 442520/2014-0 ![]() |
Citation | Delgado Delgado, M., Malcher Figueiredo, G.d.J., Oliveira Pimenta, M.T.d. y Suárez Fernández, A. (2016). Study of a logistic equation with local and non-local reaction terms. Topological Methods in Nonlinear Analysis, 47 (2), 693-713. |
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