Theory and Modern Applications
Table 1 Descriptive list of the variables and parameters appearing in system (7)
Parameter | Dimension | Description |
|---|---|---|
t | time | Time |
x | biomass | Prey density |
y | biomass | Predator density |
r | time−1 | Prey intrinsic growth rate |
k | biomass | Prey carrying capacity |
β | biomass ⋅ time−1 | Capture rate of the predator |
a | biomass2 | Reciprocal of group defense in prey |
b | biomass | Reciprocal of group defense in prey associated with the prey x |
μ | – | Conversion fraction of the prey into the predator |
d | time−1 | Natural death rate of the predator |
η | biomass−1 ⋅ time−1 | Rate of anti-predator behavior of the prey |
\(p_{1}\) | – | Proportional constant of the prey which dies due to the pesticide |
\(p_{2}\) | – | Proportional constant of the predator which dies due to the pesticide |
\(p_{3}\) | biomass | Density of the predators released each time |