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Theory and Modern Applications

Table 1 Description of parameters

From: A dynamical approach to the legal and illegal logging of forestry population and conservation using taxation

Parameter

Description

Unit

r

intrinsic growth rate

per yr

Îł

new plantation

per yr

K

carrying capacity

–

β

transition rate

per yr

\(q_{1}\)

harvesting rate comes under tax

per yr

\(q_{2}\)

harvesting rate comes under tax

per yr

\(d_{1}\)

depletion rate because of illegal cutting

per yr

\(d_{2}\)

depletion rate because of illegal cutting

per yr

\(d_{3}\)

depletion rate of industries

per yr

ÎĽ

depletion rate of mature trees for non-industrial uses

per yr

\(a_{1}\)

measuring the strength of reaction of harvest effort

–

\(a_{2}\)

measuring the strength of reaction of harvest effort

–

\(p_{1}\)

price of forestry biomass

per unit

\(p_{2}\)

price of forestry biomass

per unit

\(c_{1}\)

harvesting cost of forestry biomass

per yr

\(c_{2}\)

harvesting cost of forestry biomass

per yr

\(\tau _{1}\)

tax of forestry biomass

per unit

\(\tau _{2}\)

tax of forestry biomass

per unit

\(h_{1}\)

delay parameter

years