How Long to Read Mutual Invadability Implies Coexistence in Spatial Models

How Long Does it Take to Read Mutual Invadability Implies Coexistence in Spatial Models?

It takes the average reader 2 hours and 20 minutes to read Mutual Invadability Implies Coexistence in Spatial Models by Rick Durrett

Assuming a reading speed of 250 words per minute. Learn more

Description

In (1994) Durrett and Levin proposed that the equilibrium behavior of stochastic spatial models could be determined from properties of the solution of the mean field ordinary differential equation (ODE) that is obtained by pretending that all sites are always independent. Here we prove a general result in support of that picture. We give a condition on an ordinary differential equation which implies that densities stay bounded away from 0 in the associated reaction-diffusion equation, and that coexistence occurs in the stochastic spatial model with fast stirring. Then using biologists' notion of invadability as a guide, we show how this condition can be checked in a wide variety of examples that involve two or three species: epidemics, diploid genetics models, predator-prey systems, and various competition models.

How long is Mutual Invadability Implies Coexistence in Spatial Models?

Mutual Invadability Implies Coexistence in Spatial Models by Rick Durrett is 140 pages long, and a total of 35,000 words.

This makes it 47% the length of the average book. It also has 43% more words than the average book.

How Long Does it Take to Read Mutual Invadability Implies Coexistence in Spatial Models Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 11 minutes to read Mutual Invadability Implies Coexistence in Spatial Models aloud.

What Reading Level is Mutual Invadability Implies Coexistence in Spatial Models?

Mutual Invadability Implies Coexistence in Spatial Models is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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