Multiple extinction routes in stochastic population models

Details Multiple extinction routes in stochastic population models Multiple extinction routes in stochastic population models

2011-12-19

arxiv.org/abs/1112.4331v2

Biology

Quantitative Biology

Populations and Evolution

10 pages, 8 figures

Scientific paper

Isolated populations ultimately go extinct because of the intrinsic noise of elementary processes. In multi-population systems extinction of a population may occur via more than one route. We investigate this generic situation in a simple predator-prey (or infected-susceptible) model. The predator and prey populations may coexist for a long time but ultimately both go extinct. In the first extinction route the predators go extinct first, whereas the prey thrive for a long time and then also go extinct. In the second route the prey go extinct first causing a rapid extinction of the predators. Assuming large sub-population sizes in the coexistence state, we compare the probabilities of each of the two extinction routes and predict the most likely path of the sub-populations to extinction. We also suggest an effective three-state master equation for the probabilities to observe the coexistence state, the predator-free state and the empty state.

Affiliated with

Also associated with

No associations

Rating

Multiple extinction routes in stochastic population models 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 Multiple extinction routes in stochastic population models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiple extinction routes in stochastic population models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-211715