Parameters

Meanings

$\Theta$

saturation level of the medium

$\alpha$

natural growth rate of the small pelagic population

${{\alpha }^{\prime }}_1$

natural mortality rate of prey

$k_1$

rate of increase due to management of small pelagic resource

$k_2$

regression rate due to small pelagic management

$k_3$

regression rate of predator management

${\beta }_1$

mortality rate of small pelagics caused by predators

${\beta }_2$

mortality rate of small pelagics caused by overfishing

${\xi }_1$

proportion of decrease in sea trips

$\delta$

growth rate of predators

r

intrinsic reproduction rate of the population

${\gamma }_1$

mortality rate of fishing predators

${\gamma }_2$

natural mortality rate of predators

$\delta$

rate of increase in predators due to the abundance of small pelagics

${\eta }_1$

Increase in the number of fishermen at sea caused by abundant prey

${\eta }_2$

rate of change in the number of fishermen at sea caused by predators

${\mu }_1$

Rate of change in fishing effort caused by regulation.

${\mu }_2$

Rate of decline in fisheries management effort.