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A Comparative Study of COVID-19 Pandemic in Rajasthan, India

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Mathematical Analysis for Transmission of COVID-19

Part of the book series: Mathematical Engineering ((MATHENGIN))

Abstract

The treatment of corona virus disease is not possible without any vaccine. However, spreading of the deadly virus can be controlled by various measures being imposed by Government like lockdown, quarantine, isolation, contact tracing, social distancing and putting face mask on mandatory basis. As per information from the Department of Medical Health and Family Welfare of Rajasthan on 19 September 2020, corona virus COVID-19 severely affected the state of Rajasthan, resulting in cumulative positive cases 113,124, cumulative recovered 93,805 and cumulative deaths 1322. Without any appropriate treatment, it may further spread globally as it is highly communicable and because potentially affecting the human body respiratory system, which could be fatal to mankind. Therefore, to reduce the spread of infection, authors are motivated to construct a predictive mathematical model with sustainable conditions as per the ongoing scenario in the state of Rajasthan. Mathematica software has been used for numerical evaluation and graphical representation for variation of infection, recovery, exposed, susceptibles and mortality versus time. Moreover, comparative analysis of results obtained by predictive mathematical model has been done with the exact data plotting by curve fitting as obtained from Rajasthan government website. As a part of analysis and result, it is noted that due to the variation of transmission rate from person to person corresponding rate of infection goes on increasing monthly and mortality rate found high as shown and discussed numerically. Further, we can predict that the situation will become worse in the winter months especially in month of December due to unavailability of proper vaccine. This model may become more efficient when the researchers, experts from medical sciences and technologist work together.

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Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mandeep Mittal .

Editor information

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Appendices

Annexure 1

The status of COVID-19 disease in the month of June

Date (June)

Cumulative infected

New infected

Cumulative death

New death

Recovered

1

8831

214

194

1

6032

2

9100

269

199

5

6213

3

9373

273

203

4

6435

4

9652

279

209

6

6744

5

9862

210

213

4

7104

6

10,084

222

218

5

7359

7

10,337

253

231

13

7501

8

10,599

262

240

9

7754

9

10,876

277

246

6

8117

10

11,245

369

255

9

8328

11

11,600

355

259

4

8569

12

11,838

238

265

6

8775

13

12,068

230

272

7

9011

14

12,401

333

282

10

9337

15

12,694

293

292

10

9566

16

12,981

287

301

9

9785

17

13,216

235

308

7

9962

18

13,542

326

313

5

10,467

19

13,857

315

330

17

10,742

20

14,156

299

333

3

10,997

21

14,555

399

337

4

11,274

22

14,930

393

349

12

11,597

23

15,232

302

356

7

11,910

24

15,627

395

365

9

12,213

25

16,009

382

375

10

12,611

26

16,296

287

379

4

12,840

27

16,660

364

380

1

13,062

28

16,944

284

391

11

13,367

29

17,271

327

399

8

13,611

30

17,660

389

405

6

13,921

  1. Source [13]

Annexure 2

The status of COVID-19 disease in the Month of July

Date (July)

Cumulative infected

New infected

Cumulative death

New death

Recovered

1

18,014

354

413

8

14,220

2

18,312

298

421

8

14,574

3

18,662

350

430

9

14,948

4

19,052

390

440

10

15,281

5

19,532

480

447

7

15,640

6

20,164

632

456

9

15,928

7

20,688

524

461

5

16,278

8

21,404

716

472

11

16,575

9

22,063

659

482

10

16,866

10

22,563

500

491

9

17,070

11

23,174

611

497

6

17,620

12

23,748

574

503

6

17,869

13

24,392

644

510

7

18,103

14

24,936

544

518

8

18,630

15

25,571

635

524

6

19,169

16

26,437

866

530

6

19,502

17

27,174

737

538

8

19,970

18

27,789

615

546

8

20,626

19

28,500

711

553

7

21,144

20

29,434

934

559

6

21,730

21

30,390

956

568

9

22,195

22

31,373

983

577

9

22,744

23

32,334

961

583

6

23,364

24

33,220

886

594

11

23,815

25

34,178

958

602

8

24,547

26

53,298

1120

613

11

25,306

27

36,430

1132

624

11

25,954

28

37,564

1134

633

9

26,834

29

38,636

1072

644

11

27,317

30

39,780

1144

654

10

28,309

31

40,936

1156

667

13

29,231

  1. Source [13]

Annexure 3

The status of COVID-19 disease in the month of August

Date (August)

Cumulative infected

New infected

Cumulative death

New death

Recovered

1

42,083

1147

680

13

29,845

2

43,243

1160

694

14

30,668

3

44,410

1167

706

12

31,216

4

45,555

1145

719

13

32,051

5

46,679

1124

732

13

32,832

6

47,845

1166

745

13

33,849

7

48,996

1151

757

12

35,131

8

50,157

1161

767

10

36,195

9

51,328

1171

778

11

37,163

10

52,497

1169

789

11

38,235

11

53,670

1173

800

11

39,060

12

54,887

1217

811

11

40,399

13

56,100

1213

822

11

41,648

14

57,414

1264

833

11

41,819

15

58,692

1278

846

13

43,897

17

61,296

1317

876

14

46,604

18

62,630

1334

887

11

47,654

19

63,977

1347

898

11

48,960

20

65,289

1312

910

12

49,963

21

66,619

1330

921

11

51,190

22

67,954

1335

933

12

52,496

23

69,264

1310

944

11

54,144

24

70,609

1345

955

11

55,324

25

71,955

1346

967

12

56,600

26

73,325

1370

980

13

58,126

27

74,670

1345

992

12

59,579

28

76,015

1345

1005

13

60,585

29

77,370

1355

1017

12

62,033

30

78,777

1407

1030

13

62,971

31

80,227

1450

1043

13

65,093

  1. Source [13]

Annexure 4

The status of COVID-19 disease up to 19 September 2020

Date (September)

Cumulative infected

New infected

Cumulative death

New death

Recovered

1

83,163

1470

1069

13

68,124

2

84,674

1511

1081

12

70,674

3

86,227

1553

1095

14

71,220

4

87,797

1570

1108

13

71,899

5

89,363

1566

1122

14

73,245

6

90,956

1593

1137

15

74,861

7

92,536

1580

1151

14

76,427

8

94,126

1590

1164

13

77,872

9

95,736

1610

1178

14

79,450

10

97,376

1640

1192

14

80,482

11

99,036

1660

1207

15

81,970

12

100,705

1669

1221

14

82,902

13

102,408

1703

1236

15

84,518

14

104,138

1730

1250

14

86,162

15

105,898

1760

1264

14

87,873

16

107,680

1782

1279

15

89,352

17

109,473

1793

1293

14

90,685

18

111,290

1817

1308

15

92,265

19

113,124

1834

1322

14

93,805

  1. Source [14]

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Jayaswal, M.K., Lamba, N.K., Yadav, R., Mittal, M. (2021). A Comparative Study of COVID-19 Pandemic in Rajasthan, India. In: Shah, N.H., Mittal, M. (eds) Mathematical Analysis for Transmission of COVID-19. Mathematical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-33-6264-2_5

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  • DOI: https://doi.org/10.1007/978-981-33-6264-2_5

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