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Theory and Modern Applications

Table 1 Numerical results of \(a_{ij}\) and \(b_{ij}\), where \(i=1,2\) and \(j=1,2\), in Example 1

From: On periodic solutions of a discrete Nicholson’s dual system with density-dependent mortality and harvesting terms

ν

\(a_{ij}\)

\(b_{ij}\)

\(a_{11}\)

\(a_{12}\)

\(a_{21}\)

\(a_{22}\)

\(b_{11}\)

\(b_{12}\)

\(b_{21}\)

\(b_{22}\)

0

0.9000

0.7000

1.1000

1.0000

0.7000

0.9000

0.6000

0.8000

1

0.9000

0.7000

1.1000

1.0000

0.7005

0.9003

0.6002

0.8002

2

0.9000

0.7000

1.1000

1.0000

0.7010

0.9007

0.6003

0.8003

3

0.9000

0.7000

1.1000

1.0000

0.7016

0.9010

0.6005

0.8005

4

0.9000

0.7000

1.1000

1.0000

0.7021

0.9014

0.6007

0.8007

5

0.9000

0.7000

1.1000

1.0000

0.7026

0.9017

0.6009

0.8009

6

0.9000

0.7000

1.1000

1.0000

0.7031

0.9021

0.6010

0.8010

7

0.9000

0.7000

1.1000

1.0000

0.7037

0.9024

0.6012

0.8012

8

0.9000

0.7000

1.1000

1.0000

0.7042

0.9028

0.6014

0.8014

9

0.9000

0.7000

1.1000

1.0000

0.7047

0.9031

0.6016

0.8016

10

0.9000

0.7000

1.1000

1.0000

0.7052

0.9035

0.6017

0.8017

11

0.9000

0.7000

1.1000

0.9999

0.7058

0.9038

0.6019

0.8019

12

0.9000

0.7000

1.1000

0.9999

0.7063

0.9042

0.6021

0.8021

13

0.9000

0.7000

1.0999

0.9999

0.7068

0.9045

0.6023

0.8023

14

0.9000

0.7000

1.0999

0.9999

0.7073

0.9049

0.6024

0.8024

15

0.9000

0.7000

1.0999

0.9999

0.7079

0.9052

0.6026

0.8026

16

0.9000

0.7000

1.0999

0.9999

0.7084

0.9056

0.6028

0.8028

17

0.9000

0.7000

1.0999

0.9999

0.7089

0.9059

0.6030

0.8030

18

0.9000

0.7000

1.0999

0.9999

0.7094

0.9063

0.6031

0.8031

19

0.8999

0.6999

1.0999

0.9998

0.7099

0.9066

0.6033

0.8033