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Artículo
The Lotka-Volterra models with non-local reaction terms
(American Institute of Mathematical Sciences (AIMS), 2022-11)
In this paper we consider a diffusive Lotka-Volterra system including nonlocal terms in the reaction functions. We analyze the main types of interactions between species: competition, predator-prey and cooperation. We ...
Artículo
On a parabolic-elliptic chemotactic model with coupled boundary conditions
(Elsevier, 2010-10)
This paper deals with a nonlinear system of parabolic-elliptic type with a logistic source term and coupled boundary conditions related to pattern formation. We prove the existence of a unique positive global in time ...
Artículo
Unilateral global bifurcation for a class of quasilinear elliptic systems and applications
(Elsevier, 2019-06)
In this paper we establish a unilateral bifurcation result for a class of quasilinear elliptic system strongly coupled, extending the bifurcation theorem of [J. López-Gómez. Nonlinear eigenvalues and global bifurcation ...