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

Autor: Jyun-Yuan Ciou, Tzung-Shin Yeh
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2021, Iss 10,, Pp 1-12 (2021)
Druh dokumentu: article
ISSN: 1072-6691
Popis: We study exact multiplicity and bifurcation curves of positive solutions for the diffusive logistic problem with generalized Holling type-IV functional response $$\displaylines{ u''(x)+\lambda \big[ ru(1-\frac{u}{q})-\frac{u}{1+mu+u^2}\big] =0,\quad-10$ is a bifurcation parameter. On the $(\lambda ,||u||_{\infty })$-plane, we give a complete classification of two qualitatively different bifurcation curves: a C-shaped curve and a monotone increasing curve.
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