Numerical Computation for HIV-AIDS Modeling with Recovery (Vaccination) using Excel spreadsheet

n

s(n)

h(n)

a(n)

r(n)

s(n + 1)

h(n + 1)

a(n + 1)

r(n + 1)

0

24,650

10

1000

100

24,643

222

1000

101

1

24,643

222

1000

101

24,531

477

1000

102

2

24,531

477

1000

102

24,295

785

1001

104

3

24,295

785

1001

104

23,911

1154

1001

105

4

23,911

1154

1001

105

23,357

1591

1001

106

5

23,357

1591

1001

106

22,612

2105

1001

108

6

22,612

2105

1001

108

21,658

2701

1002

109

7

21,658

2701

1002

109

20,486

3382

1003

111

8

20,486

3382

1003

111

19,098

4144

1003

113

9

19,098

4144

1003

113

17,514

4977

1004

114

10

17,514

4977

1004

114

15,769

5866

1006

116

11

15,769

5866

1006

116

13,918

6784

1007

118

12

13,918

6784

1007

118

12,028

7703

1009

121

13

12,028

7703

1009

121

10,174

8590

1011

123

14

10,174

8590

1011

123

8425

9416

1013

125

15

8425

9416

1013

125

6838

10,159

1015

127

16

6838

10,159

1015

127

5448

10,804

1018

130

17

5448

10,804

1018

130

4270

11,346

1021

133

18

4270

11,346

1021

133

3301

11,790

1023

135

19

3301

11,790

1023

135

2522

12,144

1026

138

20

2522

12,144

1026

138

1909

12,421

1029

141

21

1909

12,421

1029

141

1435

12,634

1032

143

22

1435

12,634

1032

143

1072

12,795

1036

146

23

1072

12,795

1036

146

798

12,915

1039

149

24

798

12,915

1039

149

592

13,004

1042

152

25

592

13,004

1042

152

438

13,069

1045

155

26

438

13,069

1045

155

323

13,115

1049

158

27

323

13,115

1049

158

238

13,148

1052

160

28

238

13,148

1052

160

176

13,171

1055

163

29

176

13,171

1055

163

129

13,187

1058

166

30

129

13,187

1058

166

95

13,196

1062

169

31

95

13,196

1062

169

70

13,202

1065

172

32

70

13,202

1065

172

52

13,204

1068

175

33

52

13,204

1068

175

38

13,205

1072

177

34

38

13,205

1072

177

28

13,203

1075

180

35

28

13,203

1075

180

21

13,201

1078

183

36

21

13,201

1078

183

15

13,197

1082

186

37

15

13,197

1082

186

11

13,193

1085

189

38

11

13,193

1085

189

8

13,189

1088

192

39

8

13,189

1088

192

6

13,184

1091

195

40

6

13,184

1091

195

4

13,179

1095

197