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Table 3 The t-statistic, P-value, CI Bound, Standard deviation, the estimated value of parameters, and the initial condition of each compartment of the model (1)

From: The prevention and control of tuberculosis: an analysis based on a tuberculosis dynamic model derived from the cases of Americans

Parameter

Value

Standard

CI Low

CI High

P-Value

t-statistic

initial value

 

deviation

Bound

Bound

  

α

0.1002

0.0340

-0.0081

0.2085

0.0603

2.9434

β1

4.4381

0.2390

3.6774

5.1987

0.0003

18.5687

β2

0.2994

0.0312

0.2002

0.3985

0.0024

9.6079

β3

5.8662

0.1946

5.2469

6.4855

0.0001

30.1466

χ

0.1388

0.0425

0.0036

0.2740

0.0469

3.2664

d1

0.0506

0.0240

-0.0256

0.1269

0.1251

2.1126

d2

0.7257

0.1033

0.3968

1.0546

0.0059

7.0222

d3

0.0947

0.0572

-0.0875

0.2769

0.1966

1.6543

δ

0.5698

0.1622

0.0535

1.0861

0.0391

3.5121

ε

0.5539

0.1130

0.1944

0.9134

0.0162

4.9029

g

0.5022

0.1049

0.1682

0.8362

0.0173

4.7856

γ

0.1444

0.0388

0.0210

0.2679

0.0337

3.7225

h

0.3998

0.0687

0.1811

0.6184

0.0101

5.8184

k

0.0421

0.0154

-0.007

0.0913

0.0721

2.7281

Λ

3.3510×103

6.6920

3.3300×103

3.3723×103

1.7562×10−8

5.0076×102

p1

0.025

0.0125

-0.0146

0.0647

0.1384

2.0072

p2

0.3414

0.0538

0.1702

0.5125

0.0079

6.3472

ϕ

0.0500

0.0255

-0.0311

0.1311

0.1444

1.9630

ψ

0.0510

0.0123

0.0120

0.0901

0.0252

4.1617

q1

0.0240

0.0077

6.7543 ×10−4

0.0486

0.0535

3.0952

q2

0.5425

0.0390

0.4183

0.6667

0.0008

13.9023

r

0.9219

0.0259

0.8394

1.0045

0.0000

35.5518

ρ

0.1993

0.0769

-0.0456

0.4442

0.0811

2.5903

θ

0.6082

0.1642

0.0856

1.1308

0.0342

3.7037

ω

0.1986

0.0233

0.1245

0.2726

0.0034

8.5350

V(0)

9.2311×105

172.1804

9.2256×105

9.2366×105

1.4311×10−11

5.3613×103

S(0)

4.6139×106

101.8849

4.6136×106

4.6142×106

2.3746×10−14

4.5286×104

E(0)

1.1199×106

164.3129

1.1194×106

1.1204×106

6.9652×10−12

6.8157×103

I(0)

2.2255×104

J(0)

4.8511×104

21.2908

4.8443×104

4.8579×104

1.8643×10−10

2.2785×103

L(0)

5.7244×102

2.5804

5.6423×102

5.8065×102

2.0199×10−7

2.2184×102

R(0)

6.9875×102

1.9114

6.9267×102

7.0483×102

4.5139×10−8

3.6557×102