Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2009-01-22
Biology
Quantitative Biology
Populations and Evolution
31 pages, 6 figures
Scientific paper
Analytical analysis of spatially extended autocatalytic and hypercyclic systems is presented. It is shown that spatially explicit systems in the form of reaction-diffusion equations with global regulation possess the same major qualitative features as the corresponding local models. In particular, using the introduced notion of the stability in the mean integral sense we prove the competitive exclusion principle for the autocatalytic system and the permanence for the hypercycle system. Existence and stability of stationary solutions are studied. For some parameter values it is proved that stable spatially non-uniform solutions appear.
Bratus' Alexander S.
Novozhilov Artem S.
Posvyanskii Vladimir P.
No associations
LandOfFree
Existence and stability of stationary solutions to spatially extended autocatalytic and hypercyclic systems under global regulation and with nonlinear growth rates does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Existence and stability of stationary solutions to spatially extended autocatalytic and hypercyclic systems under global regulation and with nonlinear growth rates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence and stability of stationary solutions to spatially extended autocatalytic and hypercyclic systems under global regulation and with nonlinear growth rates will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-65298