Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2011-12-21
Biology
Quantitative Biology
Populations and Evolution
18 pages, 5 figures, Final revision in Journal of the Royal Society Interface. arXiv admin note: substantial text overlap with
Scientific paper
Extinction appears ubiquitously in many fields, including chemical reactions, population biology, evolution, and epidemiology. Even though extinction as a random process is a rare event, its occurrence is observed in large finite populations. Extinction occurs when fluctuations due to random transitions act as an effective force which drives one or more components or species to vanish. Although there are many random paths to an extinct state, there is an optimal path that maximizes the probability to extinction. In this article, we show that the optimal path is associated with the dynamical systems idea of having maximum sensitive dependence to initial conditions. Using the equivalence between the sensitive dependence and the path to extinction, we show that the dynamical systems picture of extinction evolves naturally toward the optimal path in several stochastic models of epidemics.
Bianco Simone
Forgoston Eric
Schwartz Ira B.
Shaw Brandon L.
No associations
LandOfFree
Converging towards the optimal path to extinction 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 Converging towards the optimal path to extinction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Converging towards the optimal path to extinction will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-190852