Bifurcation of Positive Equilibria in Nonlinear Structured Population Models with Varying Mortality Rates

TL;DR

This paper investigates how varying mortality rates affect the existence of positive equilibrium solutions in a nonlinear age-structured population model using bifurcation theory.

Contribution

It introduces a bifurcation approach to analyze the existence of positive equilibria in a nonlinear structured population model with mortality-dependent parameters.

Findings

Existence of positive equilibrium solutions is established.

Bifurcation points depend on mortality rate parameters.

The model demonstrates bifurcation behavior as mortality varies.

Abstract

A parameter-dependent model involving nonlinear diffusion for an age-structured population is studied. The parameter measures the intensity of the mortality. A bifurcation approach is used to establish existence of positive equilibrium solutions.