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Table 2 Parameter dependence of the thresholds , \(x = x ( \bar{x} )\), and the amount of harvesting \(\bar{\xi } = \bar{x} - x\). In this table, the notations “+” and “−” mean means increase and decrease of , x, or ξ̄ with respect to each parameter, respectively

From: Mathematical and numerical analyses of a stochastic impulse control model with imperfect interventions

Parameter

Smallest value

Largest value

\(\underline{x}\)

ξ̄

μ

0.2

0.8

σ

0.1

0.7

+

+

+

δ

1.5

3.0

+

+

+

r

0.003

0.007

R

0.1

5.0

+

+

+

\(k_{0}\)

0.01

0.25

+

+

\(k_{1}\)

0.01

0.20

+

+

+

a

0.1

0.9

b

0.5

1.0