An Epidemic Model with Time-Distributed Recovery and Death Rates

被引:16
作者
Ghosh, Samiran [1 ]
Volpert, Vitaly [2 ,3 ]
Banerjee, Malay [1 ]
机构
[1] Indian Inst Technol Kanpur, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India
[2] Univ Lyon 1, Inst Camille Jordan, UMR CNRS 5208, F-69622 Villeurbanne, France
[3] RUDN Univ, Peoples Friendship Univ Russia, 6 Miklukho Maklaya St, Moscow 117198, Russia
关键词
Epidemic model; Variable recovery rate; SIR model; Effective infection rate; TEMPORARY IMMUNITY; INFLUENZA-VIRUS; H1N1; INFLUENZA; DISEASE; TRANSMISSION; INCUBATION; DYNAMICS; PERIODS; SPREAD; SARS;
D O I
10.1007/s11538-022-01028-0
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
A compartmental epidemiological model with distributed recovery and death rates is proposed. In some particular cases, the model can be reduced to the conventional SIR model. However, in general, the dynamics of epidemic progression in this model is different. Distributed recovery and death rates are evaluated from COVID-19 data. The model is validated by the epidemiological data for different countries, and it shows better agreement with the data than the SIR model. The time-dependent disease transmission rate is estimated.
引用
收藏
页数:19
相关论文
共 45 条
[21]  
github, 2022, About Us
[22]   INTEGRAL-EQUATION MODELS FOR ENDEMIC INFECTIOUS-DISEASES [J].
HETHCOTE, HW ;
TUDOR, DW .
JOURNAL OF MATHEMATICAL BIOLOGY, 1980, 9 (01) :37-47
[23]   The mathematics of infectious diseases [J].
Hethcote, HW .
SIAM REVIEW, 2000, 42 (04) :599-653
[24]  
HURD HS, 1993, PREV VET MED, V15, P81, DOI 10.1016/0167-5877(93)90105-3
[25]   Hospitalized Patients with 2009 H1N1 Influenza in the United States, April-June 2009. [J].
Jain, Seema ;
Kamimoto, Laurie ;
Bramley, Anna M. ;
Schmitz, Ann M. ;
Benoit, Stephen R. ;
Louie, Janice ;
Sugerman, David E. ;
Druckenmiller, Jean K. ;
Ritger, Kathleen A. ;
Chugh, Rashmi ;
Jasuja, Supriya ;
Deutscher, Meredith ;
Chen, Sanny ;
Walker, John D. ;
Duchin, Jeffrey S. ;
Lett, Susan ;
Soliva, Susan ;
Wells, Eden V. ;
Swerdlow, David ;
Uyeki, Timothy M. ;
Fiore, Anthony E. ;
Olsen, Sonja J. ;
Fry, Alicia M. ;
Bridges, Carolyn B. ;
Finelli, Lyn .
NEW ENGLAND JOURNAL OF MEDICINE, 2009, 361 (20) :1935-1944
[26]   Predicting the global spread of H5N1 avian influenza [J].
Kilpatrick, A. Marm ;
Chmura, Aleksei A. ;
Gibbons, David W. ;
Fleischer, Robert C. ;
Marra, Peter P. ;
Daszak, Peter .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2006, 103 (51) :19368-19373
[27]   Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate [J].
Kyrychko, YN ;
Blyuss, KB .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2005, 6 (03) :495-507
[28]   Probability of a Disease Outbreak in Stochastic Multipatch Epidemic Models [J].
Lahodny, Glenn E., Jr. ;
Allen, Linda J. S. .
BULLETIN OF MATHEMATICAL BIOLOGY, 2013, 75 (07) :1157-1180
[29]   Overview on SARS in Asia and the world [J].
Lam, WK ;
Zhong, NS ;
Tan, WC .
RESPIROLOGY, 2003, 8 :S2-S5
[30]   Estimating the Delay between Host Infection and Disease (Incubation Period) and Assessing Its Significance to the Epidemiology of Plant Diseases [J].
Leclerc, Melen ;
Dore, Thierry ;
Gilligan, Christopher A. ;
Lucas, Philippe ;
Filipe, Joao A. N. .
PLOS ONE, 2014, 9 (01)