Dynamics of a Novel IVRD Pandemic Model of a Large Population over a Long Time with Efficient Numerical Methods

被引:7
作者
Rangasamy, Maheswari [1 ]
Alessa, Nazek [2 ]
Dhandapani, Prasantha Bharathi [1 ]
Loganathan, Karuppusamy [3 ,4 ]
机构
[1] Sri Eshwar Coll Engn, Dept Math, Coimbatore 641202, Tamil Nadu, India
[2] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
[3] Manipal Univ Jaipur, Dept Math & Stat, Jaipur 303007, Rajasthan, India
[4] Live4Res, Res & Dev Wing, Tiruppur 638106, India
来源
SYMMETRY-BASEL | 2022年 / 14卷 / 09期
关键词
new IVRD epidemic model; basic reproduction number; stability analysis; sensitivity analysis; pandemic model; vaccinated cases; COVID-19; SEIR; TRANSMISSION; PREDICTION;
D O I
10.3390/sym14091919
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The model of any epidemic illness is evolved from the current susceptibility. We aim to construct a model, based on the literature, different to the conventional examinations in epidemiology, i.e., what will occur depends on the susceptible cases, which is not always the case; one must consider a model with aspects such as infections, recoveries, deaths, and vaccinated populations. Much of this information may not be available. So without artificially assuming the unknown aspects, we frame a new model known as IVRD. Apart from qualitative evaluation, numerical evaluation has been completed to aid the results. A novel approach of calculating the fundamental reproduction/transmission range is presented, with a view to estimating the largest number of aspects possible, with minimal restrictions on the spread of any disease. An additional novel aspect of this model is that we include vaccines with the actively infected cases, which is not common. A few infections such as rabies, ebola, etc., can apply this model. In general, the concept of symmetry or asymmetry will exist in every epidemic model. This model and method can be applied in scientific research in the fields of epidemic modeling, the medical sciences, virology, and other areas, particularly concerning rabies, ebola, and similar diseases, to show how immunity develops after being infected by these viruses.
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页数:17
相关论文
共 29 条
[21]   Mathematical Modeling Based Study and Prediction of COVID-19 Epidemic Dissemination Under the Impact of Lockdown in India [J].
Tiwari, Vipin ;
Deyal, Namrata ;
Bisht, Nandan S. .
FRONTIERS IN PHYSICS, 2020, 8
[22]   Predicting the growth and trend of COVID-19 pandemic using machine learning and cloud computing [J].
Tuli, Shreshth ;
Tuli, Shikhar ;
Tuli, Rakesh ;
Gill, Sukhpal Singh .
INTERNET OF THINGS, 2020, 11
[23]   On a quarantine model of coronavirus infection and data analysis [J].
Volpert, Vitaly ;
Banerjee, Malay ;
Petrovskii, Sergei .
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2020, 15
[24]  
Widatalla S., 2012, International Scholarly Research Notices, V2012, DOI [10.5402/2012/704184, DOI 10.5402/2012/704184]
[25]   Parameter estimation and fractional derivatives of dengue transmission model [J].
Windarto ;
Khan, Muhammad Altaf ;
Fatmawati .
AIMS MATHEMATICS, 2020, 5 (03) :2758-2779
[26]   Dynamics of a delayed SEIQ epidemic model [J].
Xia, Wanjun ;
Kundu, Soumen ;
Maitra, Sarit .
ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[27]  
Xue G., 2020, ALEX ENG J
[28]   Modified SEIR and AI prediction of the epidemics trend of COVID-19 in China under public health interventions [J].
Yang, Zifeng ;
Zeng, Zhiqi ;
Wang, Ke ;
Wong, Sook-San ;
Liang, Wenhua ;
Zanin, Mark ;
Liu, Peng ;
Cao, Xudong ;
Gao, Zhongqiang ;
Mai, Zhitong ;
Liang, Jingyi ;
Liu, Xiaoqing ;
Li, Shiyue ;
Li, Yimin ;
Ye, Feng ;
Guan, Weijie ;
Yang, Yifan ;
Li, Fei ;
Luo, Shengmei ;
Xie, Yuqi ;
Liu, Bin ;
Wang, Zhoulang ;
Zhang, Shaobo ;
Wang, Yaonan ;
Zhong, Nanshan ;
He, Jianxing .
JOURNAL OF THORACIC DISEASE, 2020, 12 (03) :165-+
[29]   Effects of media reporting on mitigating spread of COVID-19 in the ear y phase of the outbreak [J].
Zhou, Weike ;
Wang, Aili ;
Xia, Fan ;
Xiao, Yanni ;
Tang, Sanyi .
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2020, 17 (03) :2693-2707