Abstract
A linear stability analysis of the stationary solutions for growth of populations with respect to Spatially Homogeneous Perturbations (SHoP) is presented. The Neoclassical growth theory is extended to apply to spatially heterogeneous populations. The latter includes the metabolic mass transfer effects and allows for the recovery of substantial and distinct phenomena observed experimentally, such as the mechanism controlling the LAG phase, a result that holds impressive future potential in diverse applications. The stability conditions are expressed explicitly in terms of the primitive parameters of the original nonlinear system. The results are necessary when undertaking a corresponding linear stability analysis for growth of populations with respect to Spatially Heterogeneous Perturbations (SHeP).
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