Complete classification of bifurcation curves for a multiparameter diffusive logistic problem with generalized Holling type-IV functional response

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dc.contributor.authorCiou, Jyun-Yuan
dc.contributor.authorYeh, Tzung-Shin
dc.date.accessioned2021-08-20T16:30:03Z
dc.date.available2021-08-20T16:30:03Z
dc.date.issued2021-02-23
dc.description.abstractWe study exact multiplicity and bifurcation curves of positive solutions for the diffusive logistic problem with generalized Holling type-IV functional response u″(x) + λ[ru(1 - u/q) - u/1 + mu + u2] = 0, -1 < x < 1, u(-1) = u(1) = 0, where the quantity in brackets is the growth rate function and λ > 0 is a bifurcation parameter. On the (λ, ǁuǁ∞)-plane, we give a complete classification of two qualitatively different bifurcation curves: a C-shaped curve and a monotone increasing curve.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCiou, J. Y., & Yeh, T. S. (2021). Complete classification of bifurcation curves for a multiparameter diffusive logistic problem with generalized Holling type-IV functional response. <i>Electronic Journal of Differential Equations, 2021</i>(10), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14407
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectBifurcation curve
dc.subjectExact multiplicity
dc.subjectDiffusive logistic problem
dc.subjectHolling type-IV functional response
dc.subjectTime map
dc.titleComplete classification of bifurcation curves for a multiparameter diffusive logistic problem with generalized Holling type-IV functional responseen_US
dc.typeArticle

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