Theory and Modern Applications
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 |