Oscillations in SIRS model with distributed delays

European Physical Journal B

Volumn 81, Issue 3, 2011, Pages 363-371

  Goncalves S ^a   Abramson, G ^b   Gomes, M F C ^a  

^a FEDERAL UNIVERSITY OF RIO GRANDE DO SUL   (Brazil)

^b INSTITUTO BALSEIRO   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

DELAY EQUATIONS; DISTRIBUTED DELAYS; EPIDEMIC MODELS; FIXED TIME DELAYS; LINEAR ANALYSIS; OPEN PROBLEMS; STABLE OSCILLATIONS; STEADY STATE SOLUTION;

EPIDEMIOLOGY;

EID: 79960055076     PISSN: 14346028     EISSN: 14346036     Source Type: Journal    
DOI: 10.1140/epjb/e2011-20054-9     Document Type: Article

References (15)

1. R.M. Anderson, R.M. May, Infectious Diseases of Humans: Dynamics and Control (Oxford University Press, 1991)
2. J.D. Murray, Mathematical Biology (Springer 1993)
3. N.C. Grassly C. Fraser G.P. Garnett 2005 Nature 433 417 2005Natur.433..417G 10.1038/nature03072 (Pubitemid 40203321)
4. B. Grenfell O. Bjørnstad 2005 Nature 433 366 2005Natur.433..366G 10.1038/433366a (Pubitemid 40203305)
5. G. Abramson V.M. Kenkre 2002 Phys. Rev. E 66 011912 2002PhRvE..66a1912A 10.1103/PhysRevE.66.011912 (Pubitemid 40599005)
6. S. Risau-Gusmán G. Abramson 2007 Eur. Phys. J. B 60 515 2007EPJB...60..515R 1189.60128 10.1140/epjb/e2008-00011-7
7. J.P. Aparicio H.G. Solari 2001 Math. Biosci. 169 15 0977.92024 10.1016/S0025-5564(00)00050-X (Pubitemid 32158490)
8. M. Kuperman G. Abramson 2001 Phys. Rev. Lett. 86 2909 2001PhRvL..86.2909K 10.1103/PhysRevLett.86.2909 (Pubitemid 32293415)
9. F.C. Hoppensteadt, Mathematical Theories of Populations: Demographics, Genetics and Epidemics, in Regional Conference Series on Applied Mathematics (SIAM, Philadelphia, 1975)
10. H.W. Hethcote H.W. Stech P. Van Den Driessche 1981 SIAM J. Appl. Math. 40 1 0469.92012 10.1137/0140001
11. M.L. Taylor T.W. Carr 2009 J. Math. Biol. 59 841 05613290 10.1007/s00285-009-0256-9
12. M.F.C. Gomes S. Gonçalves 2009 Physica A 388 3133 2009PhyA..388.3133G 10.1016/j.physa.2009.04.015
13. M.S. Bartlett 1957 J. Roy. Statist. Soc. Ser. A 120 48 10.2307/2342553
14. A.J. Black, A.J. McKane, A. Nunes, A. Parisi, Phys. Rev. E 80, 021922-1-9 (2009)
15. H.W. Hethcote 2000 SIAM Rev. 42 599 2000SIAMR..42..599H 0993.92033 10.1137/S0036144500371907