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Theory and Modern Applications

Table 1 Meaning of parameters in model (1.1) and (1.3)

From: Impact of the fear and Allee effect on a Holling type II prey–predator model

Parameter

Meaning

x

The prey species density at time t

y

The predator species density at time t

r>0

the maximum birth rate of prey population

a>0

the level of Allee

f>0

the level of fear induced by predator population

\(\frac{r}{k}>0\)

The environmental capacity of the prey

\(d_{i}>0\), i = 1,2

The mortality of prey and predator, respectively

c>0

The conversion efficiency

b>0

The handling time of predators

\(\frac{e}{b}\)

The maximum number of prey per predator per unit time

\(\frac{ex}{1+bx}\), b>0, e>0

Holling type II response function