THE LOTKA-VOLTERRA MODELS WITH NON-LOCAL REACTION TERMS

In this paper we consider a diffusive Lotka-Volterra system including nonlo-cal terms in the reaction functions. We analyze the main types of interactions between species: competition, predator-prey and cooperation. We provide existence and non-existence of positive solutions results. For that, we employ mainly bifurcation method and a priori bounds.

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In this paper, we investigate a diffusive Lotka-Volterra system with nonlocal terms in the reaction functions. We analyze the main types of interactions between species, including competition, predator-prey, and cooperation. We provide results on the existence and non-existence of positive solutions using bifurcation method and a priori bounds.