Invertibility of linear non-cooperative elliptic systems with applications to the predator-prey model

DOI10.1016/S0362-546X(97)00248-4zbMath0894.35032OpenAlexW2004315239WikidataQ115564251 ScholiaQ115564251MaRDI QIDQ4374267

Julián López-Gómez, Rosa Pardo San Gil

Publication date: 14 September 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00248-4

zbMATH Keywords

uniqueness of coexistence states

Mathematics Subject Classification ID

Related Items (1)

Effect of the protection zone on coexistence of the species for a ratio-dependent predator-prey model

Cites Work

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• A theorem on elliptic differential inequalities with an application to gradient bounds
• Existence and uniqueness of coexistence states for the predator-prey model with diffusion: The scalar case
• The maximum principle for cooperative weakly coupled elliptic systems and some applications
• Nonlinear eigenvalues and global bifurcation application to the search of positive solutions for general Lotka-Volterra reaction diffusion systems with two species
• On the spectrum of some linear noncooperative elliptic systems with radial symmetry
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains

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