dc.creatorMontenegro M.
dc.creatorSuarez A.
dc.date2014
dc.date2015-06-25T17:51:07Z
dc.date2015-11-26T15:40:23Z
dc.date2015-06-25T17:51:07Z
dc.date2015-11-26T15:40:23Z
dc.date.accessioned2018-03-28T22:48:52Z
dc.date.available2018-03-28T22:48:52Z
dc.identifier
dc.identifierAdvances In Differential Equations. Khayyam Publishing, v. 19, n. 09/10/15, p. 833 - 856, 2014.
dc.identifier10799389
dc.identifier
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-84903833458&partnerID=40&md5=ae1727ee4d142b0cd534e6ff2d5f23d6
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/85985
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/85985
dc.identifier2-s2.0-84903833458
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1264362
dc.descriptionIn this work, we show existence and non-existence results of coexistence states for a Lotka-Volterra symbiotic model with self and cross-diffusion in one species. We study the behavior of the set of positive solutions when the cross-diffusion or the self-diffusion parameter is large.
dc.description19
dc.description09/10/15
dc.description833
dc.description856
dc.descriptionDancer, E.N., On the indices of fixed points of mappings in cones and applications (1983) J. Math. Anal. Appl., 91, pp. 131-151
dc.descriptionDelgado, M., Montenegro, M., Suárez, A., A Lotka-Volterra symbiotic model with cross-diffusion (2009) J. Differential Equations, 246, pp. 2131-2149
dc.descriptionDelgado, M., López-Gómez, J., Suárez, A., On the symbiotic Lotka-Volterra model with diffusion and transport effects (2000) J. Differential Equations, 160, pp. 175-262
dc.descriptionGidas, B., Spruck, J., A priori bounds for positive solutions of nonlinear elliptic equations (1981) Comm. Partial Differential Equations, 6, pp. 883-901
dc.descriptionKorman, P., Leung, A., On the existence and uniqueness of positive steady-states in the Volterra-Lotka ecological models with diffusion (1987) Appl. Anal., 26, pp. 145-160
dc.descriptionKuto, K., A strongly copuled diffusion effect on the stationary solution set of a prey-predator model (2007) Adv. Differential Equations, 12, pp. 145-172
dc.descriptionKuto, K., Yamada, Y., Positive solutions for Lotka-Volterra competition systems with large cross-diffusion (2010) Appl. Anal., 89, pp. 1037-1066
dc.descriptionKuto, K., Yamada, Y., Limiting characterization of stationary solutions for a prey-predator model with nonlinear diffusion of fractional type (2009) Differential Integral Equa-tions, 22, p. 725752
dc.descriptionLi, L., Coexistence theorems of steady states for predator-prey interacting systems (1988) Trans. Amer. Math. Soc., 305, pp. 143-166
dc.descriptionLing, Z., Pedersen, M., Coexistence of two species in a strongly coupled cooperative model (2007) Math. Comput. Modelling, 45, pp. 371-377
dc.descriptionLópez-Gómez, J., The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems (1996) J. Differential Equations, 127, pp. 263-294
dc.descriptionLópez-Gómez, J., Pardo, R., Coexistence regions in Lotka-Volterra models with diffusion (1992) Nonlinear Anal, 19, pp. 11-28
dc.descriptionLou, Y., Necessary and sufficient condition for the existence of positive solutions of certain cooperative system (1996) Nonlinear Anal, 26, pp. 1079-1095
dc.descriptionLou, Y., Ni, W.M., Diffusion vs cross-diffusion: an elliptic approach (1999) J. Differential Equations, 154, pp. 157-190
dc.descriptionPao, C.V., Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion (2005) Nonlinear Anal, 60, pp. 1197-1217
dc.descriptionRuan, W.H., Positive steady-state solutions of a competing reaction-diffusion system with large cross-diffusion coefficients (1996) J. Math. Anal. Appl., 197, pp. 558-578
dc.descriptionRyu, K., Ahn, I., Coexistence theorem of steady states for nonlinear self-cross diffusion systems with competitive dynamics (2003) J. Math. Anal. Appl., 283, pp. 46-65
dc.descriptionRyu, K., Ahn, I., Positive steady-states for two interacting species models with linear self-cross diffusions (2003) Discrete Contin. Dyn. Syst., 9, pp. 1049-1061
dc.descriptionYamada, Y., Positive solutions for Lotka-Volterra systems with cross-diffusion (2008) Hand-book of differential equations: stationary partial differential equations, 6, pp. 411-501. , Handb. Differ. Equ., Elsevier/North-Holland, Amsterdam
dc.languageen
dc.publisherKhayyam Publishing
dc.relationAdvances in Differential Equations
dc.rightsfechado
dc.sourceScopus
dc.titleA Symbiotic Self-cross Diffusion Model
dc.typeArtículos de revistas


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