Population Growth Rate

In the constant-inflow case, growth rate decreases when harmful-protein inflow increases and increases when the division-rate parameter increases. The population growth rate is the Perron-Frobenius eigenvalue of the mean matrix. The paper proves non-strict monotonicity of growth rate in inflow and division-rate parameter, while strict versions are conjectured. For supercritical processes, the normalized left eigenvector gives the stable biological-age distribution. Some parameter regimes are subcritical and imply extinction with probability one.