A Lotka–Volterra symbiotic model with cross-diffusion
Copyright policy )A Lotka–Volterra symbiotic model with cross-diffusion
The main goal of this paper is to study the existence and non-existence of coexistence states for a Lotka-Volterra symbiotic model with cross-diffusion. We use mainly bifurcation methods and a priori bounds to give sufficient conditions in terms of the data of the problem for the existence of positive solutions. We also analyze the profiles of the positive solutions when the cross-diffusion parameter goes to infinity.
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Ministerio de Educación y Ciencia
- University of Seville Spain
- State University of Campinas Brazil
Symbiotic model, bifurcation method, a priori bounds, Cross-diffusion, A priori estimates in context of PDEs, A priori bounds, symbiotic model, cross-diffusion, Systems of elliptic equations, boundary value problems, Analysis, Bifurcation method
Symbiotic model, bifurcation method, a priori bounds, Cross-diffusion, A priori estimates in context of PDEs, A priori bounds, symbiotic model, cross-diffusion, Systems of elliptic equations, boundary value problems, Analysis, Bifurcation method
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).19 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!