Table 1 Significations of the parameters in system (1) and the values employed for numerical simulations.
Parameters | Descriptions | Values |
|---|---|---|
\(r_1\) | Intrinsic growth rate of NTP | 0.5 |
\(r_2\) | Intrinsic growth rate of TPP | 0.5 |
\(\alpha _1\) | Competition coefficient of NTP on TPP | 0.01 |
\(\alpha _2\) | Competition coefficient of TPP on NTP | 0.01 |
K | Carrying capacity of the environment shared by NTP and TPP | 3 |
\(\beta _1\) | NTP uptake rate by zooplankton | 0.6 |
\(\beta _2\) | TPP uptake rate by zooplankton | 0.15 |
m | Coefficient of refuge by NTP | 0.1 |
\(a_1\) | Half-saturation constant for the uptake of NTP by zooplankton | 2 |
\(a_2\) | Half-saturation constant for the inhibitory effect of TPP on zooplankton | 2 |
\(\lambda _1\) | Per-capita zooplankton conversion rate from predation on NTP | 0.75 |
\(\lambda _2\) | Inhibition rate due to uptake of TPP by zooplankton | 0.1 |
\(\mu \) | Mortality rate of zooplankton | 0.01 |
\(u_1\) | Coefficient of toxicity effect on NTP | 0.05 |
\(u_2\) | Coefficient of toxicity effect on TPP | 0.05 |
v | Coefficient of toxicity effect on zooplankton | 0.002 |
