Bifurcation Curve Diagrams for a Diffusive Generalized Logistic Problem with Minkowski Curvature Operator and Constant-Yield Harvesting
Classical Analysis and ODEs
2026-04-14 v2 Analysis of PDEs
Abstract
This paper investigates the bifurcation diagrams of positive solutions for a one-dimensional diffusive generalized logistic boundary-value problem with the Minkowski curvature operator and constant yield harvesting. We prove that the corresponding bifurcation curves on both the (lambda, sup-norm of u)-plane and the (mu, sup-norm of u)-plane are C-shaped. Furthermore, by characterizing the bifurcation set on the (mu, lambda)-plane, we determine the exact multiplicity of positive solutions.
Keywords
Cite
@article{arxiv.2510.00362,
title = {Bifurcation Curve Diagrams for a Diffusive Generalized Logistic Problem with Minkowski Curvature Operator and Constant-Yield Harvesting},
author = {Shao-Yuan Huang},
journal= {arXiv preprint arXiv:2510.00362},
year = {2026}
}