Add to ORKGAbstract We consider a stochastic population model, where the intrinsic or demo-graphic noise causes cycling between states before the population eventually goes extinct. A master equation approach coupled with a (Wentzel–Kramers–Brillouin) WKB approximation is used to construct the optimal path to extinction. In addition, a probabilistic argument is used to understand the pre-extinction dynamics and approx-imate the mean time to extinction. Analytical results agree well with numerical Monte Carlo simulations. A control method is implemented to decrease the mean time to extinction. Analytical results quantify the effectiveness of the control and agree well with numerical simulations
Measures of the risk of extinction, such as the expected time to extinction, are often used in popul...
We estimate the mean time to extinction of small populations in an environment with constant carryin...
Many populations have a negative impact on their habitat or upon other species in the environment if...
Estimating the extinction risk of natural populations is not only an urgent problem in conservation ...
In large but finite populations, weak demographic stochasticity due to random birth and death events...
We examined the asymptotic rate of population extinction; when the population experien-ces density-d...
A discrete-time stochastic map is used to model metapopula-ions under demographic and extinction-col...
In numerous papers, the behaviour of stochastic population models is investigated through the sign o...
<p>The red point denotes the endemic state. A simulation starts with the population at the endemic s...
We consider a range of models that may be used to predict the future persistence of populations, par...
Comprehensive models of stochastic, clonally reproducing populations are defined in terms of general...
A new model is formulated for population changes, where the growth is deterministic and randomly occ...
In this paper, we give simple explanations to two unsolved puzzles that have emerged in recent theor...
A generalization of the well-known Levins ’ model of metapopulations is studied. The generalization ...
Understanding the mechanisms governing population extinctions is of key importance to many problems ...
Measures of the risk of extinction, such as the expected time to extinction, are often used in popul...
We estimate the mean time to extinction of small populations in an environment with constant carryin...
Many populations have a negative impact on their habitat or upon other species in the environment if...
Estimating the extinction risk of natural populations is not only an urgent problem in conservation ...
In large but finite populations, weak demographic stochasticity due to random birth and death events...
We examined the asymptotic rate of population extinction; when the population experien-ces density-d...
A discrete-time stochastic map is used to model metapopula-ions under demographic and extinction-col...
In numerous papers, the behaviour of stochastic population models is investigated through the sign o...
<p>The red point denotes the endemic state. A simulation starts with the population at the endemic s...
We consider a range of models that may be used to predict the future persistence of populations, par...
Comprehensive models of stochastic, clonally reproducing populations are defined in terms of general...
A new model is formulated for population changes, where the growth is deterministic and randomly occ...
In this paper, we give simple explanations to two unsolved puzzles that have emerged in recent theor...
A generalization of the well-known Levins ’ model of metapopulations is studied. The generalization ...
Understanding the mechanisms governing population extinctions is of key importance to many problems ...
Measures of the risk of extinction, such as the expected time to extinction, are often used in popul...
We estimate the mean time to extinction of small populations in an environment with constant carryin...
Many populations have a negative impact on their habitat or upon other species in the environment if...