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Theory and Modern Applications

Table 1 Parameters for system (2)

From: Dynamical behaviors of a food-chain model with stage structure and time delays

Parameter

Description

\(\alpha_{1}\)

Intrinsic growth rate of the prey

k

Environmental carrying capacity of the prey

\(c_{1}\)

Capture rate of the mature predator

\(\frac{\alpha_{2}}{c_{1}}\)

Conversion rate of nutrients into the reproduction of the mature predator

\(c_{2}\)

Capture rate of the mature top predator

\(\frac{\alpha_{3}}{c_{2}}\)

Conversion rate of nutrients into the reproduction of the mature top predator

\(d_{1 1}\)

Death rate of the immature predator

\(d_{1 2}\)

Death rate of the mature predator

\(d_{2 1}\)

Death rate of the immature top predator

\(d_{2 2}\)

Death rate of the mature top predator

\(\beta_{1}\)

Intra-specific competition rate of the mature predator species

\(\beta_{2}\)

Intra-specific competition rate of the mature top-predator species

\(\tau_{1}\)

Maturity of the predator

\(\tau_{2}\)

Maturity of the top predator