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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Yang, C., & Wang, J. (2020). A mathematical model for the novel coronavirus epidemic in Wuhan, China. Mathematical Biosciences and Engineering, 17, 2708–2724.
Guckenheimer, J., & Holmes, P. (2002). Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Mathematics (462 p). New York: Springer.
Driessche, P., & Watmough, J. (2002). Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Mathematical Biosciences, 180, 29–48. https://doi.org/10.1016/S0025-5564(02)00108-6.
Mizumoto, K., & Chowell, G. (2020). Transmission potential of the novel coronavirus (COVID-19) onboard the diamond Princess Cruises Ship. Infectious Disease Modeling, 5, 264–270.
Rothan, H. A., & Byrareddy, S. N. (2020). The epidemiology and pathogenesis of coronavirus disease (COVID-19) outbreak. Journal of Autoimmunity, 109, Article ID 102433.
Sohrabi, C., Alsafi, Z., O’Neill, N., Khan, M., Kerwan, A., Al-Jabir, A., et al. (2020). World Health Organization declares global emergency: A review of the 2019 novel coronavirus (COVID-19). International Journal of Surgery, 76, 71–76.
Thevarajan, I., Nguyen, T. H. O., Koutsakos, M., Druce, J., Caly, L., van de Sandt, C. E., et al. (2020). Breadth of concomitant immune responses prior to patient recovery: A case report of non-severe COVID-19. Nature Medicine, 453–455.
Riou, J., & Althaus, C. L. (2020). Pattern of early human-to-human transmission of Wuhan 2019 novel coronavirus (2019-nCoV), December 2019 to January 2020. Eurosurveillance, 25.
Khot, W. Y., & Nadkar, M. Y. (2020). The 2019 novel coronavirus outbreak—A global threat. The Journal of the Association of Physicians of India, 68, 67–71.
Wang. (2020) Coronavirus disease 2019 (COVID-19): situation report. WHO, Geneva, Switzerland.
Sahin, A. R., Erdogan, A., Agaoglu, P. M., Dineri, Y., Cakirci, A. Y., Senel, M. E., et al. (2020). Novel coronavirus (COVID-19) outbreak: A review of the current literature. EJMO, 4, 1–7.
Cheng, Z. J., & Shan, J. (2020). Novel coronavirus: Where we are and what we know. Infection, 48, 153–155.
https://en.wikipedia.org/wiki/COVID-19_pandemic_in_Rajasthan.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
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 |
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 |
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 |
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 |
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-981-33-6264-2_5
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-33-6263-5
Online ISBN: 978-981-33-6264-2
eBook Packages: EngineeringEngineering (R0)