On the Calculation of R0 Using Submodels

Differential Equations and Dynamical Systems

Volumn 25, Issue 3, 2017, Pages 481-497

  Olmos, Daniel ^a   Barradas, Ignacio ^b   Baca Carrasco, David ^a  

^a UNIVERSIDAD DE SONORA   (Mexico)

^b CENTRO DE INVESTIGACIÓN EN MATEMÁTICAS   (Mexico)

Author keywords

Basic reproductive number; Epidemiological models

Indexed keywords

EID: 85023741369     PISSN: 09713514     EISSN: 09746870     Source Type: Journal    
DOI: 10.1007/s12591-015-0257-7     Document Type: Article

References (15)

1. Soupios, M.A.: Impact of the plague in Ancient Greece. Infect. Dis. Clin. N. Am. 18, 45–51 (2004)
2. Eastman, J.T.: The making of a pandemic: bubonic plague in the 14th century. J. Lanc. Gen. Hosp. 4(1), 10–17 (2009)
3. Taubenberger, J.K., Morens, D.M.: 1918 Influenza: the mother of all pandemics. Emerg. Infect. Dis. 12, 15–22 (2006)
4. 0 in models for infectious diseases in heterogeneous populations. J. Math. Biol. 28, 365–382 (1990)
5. Diekmann, O., Heesterbeek, J.A.P., Roberts, M.G.: The construction of next-generation matrices for compartmental epidemic models. J. R. Soc. Interface 7, 873885 (2009)
6. 0. Comput. Math. Methods Med. 2011, 527610 1-11 (2011)
7. Baca-Carrasco, D., Olmos, D., Barradas, I.: A mathematical model for human and animals leptospirosis. J. Biol. Syst. (2013)
8. Crowford, B., Kribs-Zaleta, C.: A metapopulation model for sylvatic T. cruzi transmission with vector migration. Math. Biosci. Eng. 11, 471–509 (2014)
9. Gantmacher, F.R.: The Theory of Matrices, vol. 1. Chelsea Publishing Company, New York (1960)
10. Feng, Z., Velasco-Hernndez, J.X.: Competitive exclusion in a vector-host model for the dengue fever. J. Math. Biol. 35, 523–544 (1997)
11. 0 and its role on global stability. In: Castillo-Chavez, C., Blower, S., van den Driessche, P., Kirschner, D., Yakubu, A.-A. (eds.) Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction, pp. 229–250. Springer, New York (2002)
12. van den Driessche, P., Watmough, J.: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 180, 29–48 (2002)
13. Heffernan, J.M., Smith, R.J., Wahl, L.M.: Perspectives on the basic reproductive ratio. J. R. Soc. Interface 2, 281–293 (2005)
14. 0. Stanford University, Stanford (2007)
15. van den Driessche, P., Watmough, J.: Further notes on the basic reproduction number in Mathematical Epidemiology. In: Brauer, F., van den Driessche, P., Wu, J. (eds.) Mathematical Epidemiology, pp. 159–178. Springer, Berlin (2008)