Complementing the aforementioned numerical study, it is shown that, when the tube diameter is varied, the two-dimensional model unveils an unstable regime that a one-dimensional model cannot capture.
The coupled model yields an unstable behavior at a lower load than the uncoupled model, and the subsequent response is not periodic.
The problem of estimating the unknown parameters of a nonlinear (plant) model for an unstable, limit cycling system is considered.
We now consider the case for which the spatially-uniform (no diffusion) model possesses an unstable co-existence steady state, with predator-prey-like oscillatory solutions (and with the tumour cells acting as "predators").
When there are fitness costs associated with the Medea construct, the age-structured model has a unstable equilibrium whose location determines the introduction threshold.
It's sometimes better for parents to hit rock bottom, then maybe get better, rather than you having bad role models in an unstable or abusive home.
Harnroongroj and Vanadurongwan [ 5] used a complex osteotomy model to create an unstable middle-third clavicle fracture.
The age-structured model also has an unstable equilibrium, the location of which determines (in a nontrivial way) the introduction threshold.
Second, the relatively small sample size limited the analysis on the recessive model and caused an unstable estimation for the stratified analyses.
