Memory effects on epidemic evolution: The susceptible-infected-recovered epidemic model

Physical Review E - Tập 95 Số 2
Meghdad Saeedian1, Moein Khalighi1, N. Azimi-Tafreshi2, G. R. Jafari3,1,4, Marcel Ausloos5,6,7
1Department of Physics, Shahid Beheshti University, G. C., Evin, Tehran 19839, Iran
2Physics Department, Institute for Advanced Studies in Basic Sciences, 45195-1159 Zanjan, Iran
3Center for Network Science, Central European University, H-1051 Budapest, Hungary
4School of Biological Sciences, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
5GRAPES, rue de la Belle Jardinière 483, B-4031 Angleur, Belgium
6School of Management, University of Leicester, University Road, Leicester, LE1 7RH, United Kingdom
7eHumanities Group, Royal Netherlands Academy of Arts and Sciences, Joan Muyskenweg 25, 1096 CJ Amsterdam, The Netherlands

Tóm tắt

Từ khóa


Tài liệu tham khảo

10.1103/RevModPhys.87.925

F. Brauer, 2012, Mathematical Models in Population Biology and Epidemiology, 10.1007/978-1-4614-1686-9

10.1038/nrmicro1845

10.1126/science.347.6227.1213-j

N. K. Vitanov, 2012, Knowledge Epidemics and Population Dynamics Models for Describing Idea Diffusion, 10.1007/978-3-642-23068-4_3

10.1098/rspa.1927.0118

10.1016/0025-5564(82)90036-0

D. Stauffer, 1994, Introduction to Percolation Theory

10.1006/jtbi.1996.0088

10.1016/S0378-4371(03)00176-6

10.1103/PhysRevE.82.051921

10.1103/PhysRevE.64.066112

10.1098/rspb.2007.1159

10.1103/PhysRevLett.104.258701

G. Rotundo, 2005, Logistic Function in Large Financial Crashes

10.1016/j.physa.2004.06.091

10.1142/S021952591250049X

10.1016/j.physa.2012.09.030

10.1016/j.physa.2014.09.006

M. Liljenstam, 2002, Proceedings of the 10th IEEE International Symposium on Modeling, Analysis and Simulation of Computer and Telecommunications Systems (MASCOTS 2002)

J. Kim, 2004, Measurement and Analysis of Worm Propagation on Internet Network Topology

10.1016/j.nonrwa.2010.05.018

10.1007/BF00169563

10.1016/j.nonrwa.2008.10.014

10.1016/j.physa.2003.09.023

10.1093/imammb/5.3.181

D. J. Ecobichon, 1990, Biomed. Environ. Sci., 3, 217

10.2217/17469600.2.5.399

A. Legrève, 2010, Climate Change and Crop Production

10.1140/epjb/e20020122

10.1103/PhysRevLett.97.088701

10.1103/PhysRevLett.90.028701

10.1103/PhysRevE.66.016128

10.1038/srep24676

10.1103/PhysRevLett.110.108701

10.1103/PhysRevE.90.042108

10.1103/PhysRevLett.92.218701

10.1209/0295-5075/104/50001

10.1038/nphys3457

R. Herrmann, 2014, Fractional Calculus: An Introduction for Physicists, 10.1142/8934

P. L. Butzer, 2000, Applications of Fractional Calculus in Physics

10.1016/S0370-1573(00)00070-3

10.1371/journal.pone.0154983

10.1209/0295-5075/116/30004

10.1103/PhysRevE.91.042107

E. F. D. Goufo, 2014, Adv. Diff. Eq., 278, 1

10.12785/msl/020308

A. A. M. Arafa, 2015, J. Fract. Calc. Appl., 6, 208

10.1142/S1793524514500363

10.1111/j.1365-246X.1967.tb02303.x

I. Podlubny, 1999, Fractional Differential Equations

I. Podlubny, 2002, Fract. Calc. Appl. Anal., 5, 367

A. A. A. Kilbas, 2006, Theory and Applications of Fractional Differential Equations

10.1016/j.chaos.2009.04.012

10.4236/am.2012.312257

A. A. Freihat, 2014, Appl. Appl. Math., 9, 622

10.18564/jasss.2054

10.1016/j.physa.2010.02.032

10.1103/PhysRevE.92.022805

K. Diethelm, 1999, The FracPECE Subroutine for the Numerical Solution of Differential Equations of Fractional Order

10.1023/B:NUMA.0000027736.85078.be

10.1080/00207160802624331

10.1016/j.socscimed.2007.04.022

B. K. Johns, 2012, Changing Waves: The Epidemics of 1832 and 1854

10.1016/S1473-3099(15)00109-7

10.1186/s12916-015-0359-7

10.1073/pnas.0810762106

10.1093/imammb/5.2.81

10.1103/PhysRevE.61.5678

10.1103/PhysRevLett.86.2909

10.1103/PhysRevLett.86.3200