S-shaped and broken S-shaped bifurcation curves for a multiparameter diffusive logistic problem with Holling type-III functional response

DOI10.3934/CPAA.2017032zbMath1364.34031OpenAlexW2573833291MaRDI QIDQ507304

Tzung-Shin Yeh

Publication date: 3 February 2017

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2017032

zbMATH Keywords

time mapS-shaped bifurcation curvebroken S-shaped bifurcation curvediffusive logistic problemHolling type-III functional response

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (3)

Unnamed Item ⋮ Bifurcation diagrams of positive solutions for one-dimensional Minkowski-curvature problem and its applications ⋮ Bifurcation curves of positive steady-state solutions for a reaction-diffusion problem of lake eutrophication

Cites Work

• Unnamed Item
• Unnamed Item
• S-shaped bifurcation curves in ecosystems
• Spatial patterning of the spruce budworm
• Mathematical biology. Vol. 1: An introduction.
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• S-shaped and broken S-shaped bifurcation diagrams with hysteresis for a multiparameter spruce budworm population problem in one space dimension
• Persistence in reaction diffusion models with weak Allee effect
• New exact multiplicity results with an application to a population model
• Global asymptotic stability of a predator–prey system of Holling type
• On a predator-prey system of Holling type

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