A second-sound based, hyperbolic SIR model for high-diffusivity spread

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 375, Issue 5, 2011, Pages 898-907

  Bargmann, S ^a   Jordan, P M ^b  

^a TU DORTMUND UNIVERSITY   (Germany)

^b NAVAL RESEARCH LABORATORY   (United States)

Author keywords

Inertial type II theory of second sound; Lambert W function; Singular surfaces; SIR models; Traveling wave solutions

Indexed keywords

LAMBERT W FUNCTION; SECOND SOUND; SINGULAR SURFACES; SIR MODEL; TRAVELING WAVE SOLUTION;

EID: 78651355802     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2010.12.059     Document Type: Article

References (26)

1. J.D. Murray Mathematical Biology second ed. 1993 Springer Berlin
2. N.F. Britton Essential Mathematical Biology 2003 Springer New York
3. E.B. Postnikov, and I. Sokolov Math. Biosciences 208 2007 205
4. R. Williams, Mathematical modelling of the Black death, Master of Mathematics Project, April 2009, University of Durham, Durham, UK, http://maths.dur.ac.uk/Ug/projects/library/PR4/000455282p.pdf.
5. Z.-C. Wang, and J. Wu Proc. R. Soc. A 466 2010 237
6. R.E. Mickens J. Difference Eqs. Appl. 16 2010 209
7. P.M. Jordan, B. Straughan, A note on the propagation of shocks under an SIR model based on the Maxwell-Cattaneo flux law, February 2007, unpublished note.
8. I. Müller Physica D 20 1986 35
9. J.C. Maxwell Theory of Heat republication of ninth (1888) ed. 2001 Dover New York
10. D.D. Joseph, and L. Preziosi Rev. Mod. Phys. 61 1989 41
11. V. Méndez, and J. Camacho Phys. Rev. E 55 1997 6476
12. G. Abramson, A.R. Bishop, and V.M. Kenkre Phys. Rev. E 64 2001 066615
13. D.J. Needham, and A.C. King Proc. R. Soc. A 458 2002 1055
14. M. Ciarletta, and B. Straughan Mech. Res. Commun. 37 2010 445
15. I. Christov, and P.M. Jordan J. Thermal Stresses 33 2010 1109
16. J. Jaisaardsuetrong, and B. Straughan Phys. Lett. A 366 2007 433
17. S. Bargmann, P. Steinmann, and P.M. Jordan Phys. Lett. A 372 2008 4418
18. P.M. Jordan Proc. R. Soc. A 463 2007 2783
19. C.T. Lane Superfluid Physics 1962 McGraw-Hill New York
20. R.M. Corless Adv. Comput. Math. 5 1996 329
21. R. Bellman Perturbation Techniques in Mathematics, Engineering & Physics 2003 Dover New York
22. C.P. Winsor Proc. Natl. Acad. Sci. USA 18 1932 1
23. E.K. Walsh Phys. Fluids 12 1969 757
24. D.R. Bland Wave Theory and Applications 1988 OUP Oxford (Sect. 6.9)
25. B. Straughan Stability and Wave Motion in Porous Media 2008 Springer New York
26. R.J. LeVeque Finite Volume Methods for Hyperbolic Problems 2002 CUP New York