Stochastic Population and Epidemic Models by Linda J. S. Allen

Author:Linda J. S. Allen
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

Event

MC Rates

BP Rates

1

(1, 0)

b 1(t)

–

2

(0, 1)

b 2(t)

b 21 X 2(t)

3

(−1, 0)

d 1(t)

–

4

(0, −1)

d 2(t)

(d 21 + c 21 K 1)X 2(t)

Theory from branching process can be applied when X 1(0) = K 1 is sufficiently large and X 2(0) = n 20 is small. To estimate the probability of species 2 invasion success, the rates for the branching process (BP Rates) for X 2 are applied from Table 2.2. The corresponding linear approximation for the ODE model for n 2(t) is

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