Structure of positive solutions in the periodic lotka-volterra competition model when a parameter varies

DOI10.1016/0362-546X(95)00081-6zbMath0860.34024OpenAlexW2017352666MaRDI QIDQ4894161

Julián López-Gómez

Publication date: 1 October 1996

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

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00081-6

zbMATH Keywords

coexistence statenonautonomous Lotka-Volterra model for competing species

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (1)

On the periodic Lotka-Volterra competition model

Cites Work

• A different consideration about the globally asymptotically stable solution of the periodic n-competing species problem
• Convergence and ultimate bounds of solutions of the nonautonomous Volterra-Lotka competition equations
• Nonautonomous logistic equations as models of the adjustment of populations to environmental change
• Two species competition in a periodic environment
• Competition systems with periodic coefficients: A geometric approach
• Positive periodic solutions of Lotka-Volterra reaction-diffusion systems
• Some new results on the periodic competition model
• Stable limit cycles of time dependent multispecies interactions
• Coexistence in the competition model with diffusion
• 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 number of positive periodic solutions for planar competing Lotka-Volterra systems
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Bifurcation from simple eigenvalues
• An application of topological degree to the periodic competing species problem
• Multiparameter bifurcation for some particular reaction–diffusion systems
• Exchange of equilibria in two species Lotka-Volterra competition models
• On the Existence and Uniqueness of Positive Solutions for Competing Species Models with Diffusion
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• The Operator of Translation Along the Trajectories of Differential Equations
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