Henaoui, Ouassila An elliptic system modeling two subpopulations. (English) Zbl 1388.92031 Nonlinear Anal., Real World Appl. 13, No. 6, 2447-2458 (2012). Summary: In this paper we study an elliptic system modeling two subpopulations of the same species competing for resources. We show the existence and uniqueness of coexistence states of the system by giving necessary and sufficient conditions. Cited in 5 Documents MSC: 92D25 Population dynamics (general) 35J57 Boundary value problems for second-order elliptic systems Keywords:linear cooperative systems; maximum principle; fixed point theory PDFBibTeX XMLCite \textit{O. Henaoui}, Nonlinear Anal., Real World Appl. 13, No. 6, 2447--2458 (2012; Zbl 1388.92031) Full Text: DOI References: [1] Arino, O.; Montero, J. A., Optimal control of a nonlinear elliptic population system, Proc. Edinburgh Math. Soc., 116, 225-241 (2000) · Zbl 0944.35010 [2] Canada, A.; Magal, P.; Montero, J. A., Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics, J. Math. Anal. Appl., 254, 571-586 (2001) · Zbl 0982.49005 [3] Bouguima, S. M.; Fekih, S.; Hennaoui, W., Spacial structure in a juvenile-adult model, Nonlinear Anal. RWA, 9, 1184-1201 (2007) · Zbl 1147.35308 [4] Brown, J.; Zhang, Y., On a system of reaction-diffusion equations describing a population with two age-groups, J. Math. Anal. Appl., 282, 2, 444-452.k (2003) · Zbl 1031.35057 [5] Amann, H.; Lopez-Gomez, J., A priori bounds and multiple solutions for superlinear indefinite elliptic problems, J. Differential Equations, 146, 336-374 (1998) · Zbl 0909.35044 [6] Dautray, R.; Lions, J.-L., Mathematical Analysis and Numerical Methods for Science and Technology, 2 (1988), Springer-Verlag: Springer-Verlag Berlin [7] Deimling, K., Nonlinear Functional Analysis (1985), Springer: Springer Berlin, Heidelberg, New York · Zbl 0559.47040 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.