S-shaped bifurcation curves in ecosystems
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Publication:542852
DOI10.1016/j.jmaa.2011.03.048zbMath1221.35421OpenAlexW1972669194MaRDI QIDQ542852
Sarath Sasi, Eun Kyoung Lee, Ratnasingham Shivaji
Publication date: 20 June 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.03.048
Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)
Related Items (15)
Exact multiplicity of solutions for discrete second order Neumann boundary value problems ⋮ Classes of reaction diffusion equations where a parameter influences the equation as well as the boundary condition ⋮ Existence of S-shaped type bifurcation curve with dual cusp catastrophe via variational methods ⋮ A three solution theorem for a singular differential equation with nonlinear boundary conditions ⋮ Bifurcation diagrams of positive solutions for one-dimensional Minkowski-curvature problem and its applications ⋮ An ecological model with a \(\Sigma\)-shaped bifurcation curve ⋮ Existence of alternate steady states in a phosphorous cycling model ⋮ The three-solutions theorem for \(p\)-Laplacian boundary value problems ⋮ Alternate steady states for classes of reaction diffusion models on exterior domains ⋮ Singular reaction diffusion equations where a parameter influences the reaction term and the boundary conditions ⋮ S-shaped and broken S-shaped bifurcation curves for a multiparameter diffusive logistic problem with Holling type-III functional response ⋮ Bifurcation curves of positive steady-state solutions for a reaction-diffusion problem of lake eutrophication ⋮ \(\Sigma\)-shaped bifurcation curves ⋮ Bifurcation, uniqueness and multiplicity results for classes of reaction diffusion equations arising in ecology with nonlinear boundary conditions ⋮ \(S\) -shaped bifurcation diagrams in exterior domains
Cites Work
- Hysteresis, oscillations, and pattern formation in realistic immobilized enzyme systems
- Multiple positive solutions for classes of \(p\)-Laplacian equations.
- S-shaped bifurcation curves
- An Upper Bound for the First Zero of Bessel Functions
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
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