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Theory and Modern Applications

Table 1 Description of parameters in system (1)–(2)

From: Rich dynamics of a Filippov avian-only influenza model with a nonsmooth separation line

Parameter

Definition

Data 1

Data 2

Data 3

r (/day)

Intrinsic growth rate of birds

0.0047

0.005

0.002

K (bird)

Maximal carrying capacity of the birds

600

700

700

μ (/day)

Natural death rate of birds

1.2 × 10−3

1.2 × 10−4

2.4 × 10−3

d (/day)

Disease induced death rate of birds

4 × 10−4

4 × 10−5

2.2 × 10−4

β (/day/bird)

Transmission rate from infected to susceptible birds

2 × 10−5

1 × 10−5

1 × 10−4

\(c_{1}\) (/day)

Culling rate of susceptible birds

0.001

0.001

0.001

\(c_{2}\) (/day)

Culling rate of infected birds

0.006

0.002

0.002