Invasion Speed in Cellular Automaton Models for T. cruzi Vector Migration

Bulletin of Mathematical Biology

Volumn 75, Issue 7, 2013, Pages 1051-1081

  Crawford, Britnee A ^a   Kribs Zaleta, Christopher M ^a   Ambartsoumian, Gaik ^a  

^a UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

Author keywords

Cellular automaton; Invasion speed; T. cruzi; Vector migration

Indexed keywords

ANIMAL; ARTICLE; BIOLOGICAL MODEL; CHAGAS DISEASE; COMPUTER SIMULATION; DISEASE CARRIER; DISEASE TRANSMISSION; EPIDEMIC; HUMAN; MATHEMATICAL PHENOMENA; PARASITOLOGY; PATHOGENICITY; STATISTICS; TRYPANOSOMA CRUZI;

ANIMALS; CHAGAS DISEASE; COMPUTER SIMULATION; EPIDEMICS; HUMANS; INSECT VECTORS; MATHEMATICAL CONCEPTS; MODELS, BIOLOGICAL; TRYPANOSOMA CRUZI;

HEXAPODA; TRYPANOSOMA CRUZI;

EID: 84879781189     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-013-9840-7     Document Type: Article

References (22)

1. Crawford, B. A., & Kribs-Zaleta, C. M. (2013a). Vector migration and dispersal rates for sylvatic T. cruzi transmission. Ecol. Complex. doi: 10. 1016/j. ecocom. 2012. 11. 003.
2. Crawford, B. A., & Kribs-Zaleta, C. M. (2013b, in press). A metapopulation model for T. cruzi sylvatic transmission with vector migration. Math. Biosci. Eng.
3. Devillers, H., Lobry, J. R., & Menu, F. (2008). An agent-based model for predicting the prevalence of Trypanosoma cruzi I and II in their host and vector populations. J. Theor. Biol., 255, 307-315.
4. Dorn, P., Buekens, P., Hanford, E. (2007). Whac-a-mole: future trends in Chagas disease transmission and a global perspective on disease control. Futur. Microbiol., 2, 365-367.
5. Fisher, R. A. (1937). The wave of advance of advantageous genes. Ann. Eugen., 7, 355-369.
6. Fu, S., & Milne, G. (2003). Epidemic modelling using cellular automata. In Proceedings of the Australian conference on artificial life.
7. Huang, W., Han, M., & Liu, K. (2010). Dynamics of an SIS reaction-diffusion epidemic model for disease transmission. Math. Biosci. Eng., 7, 51-66.
8. Kot, M., Lewis, M. A., & van den Driessche, P. (1996). Dispersal data and the spread of invading organisms. Ecology, 77, 2027-2042.
9. Kribs Zaleta, C. (2010). Estimating contact process saturation in sylvatic transmission of Trypanosoma cruzi in the U. S. PLOS Neglected Trop. Dis., 4(4), e656. pp. 1-14.
10. Lambert, R. C., Kolivras, K. N., Resler, L. M., Brewster, C. C., & Paulson, S. L. (2008). The potential for emergence of Chagas disease in the United States. Geospatial Health, 2, 227-239.
11. Lewis, M., Renclawowicz, J., & van den Driessche, P. (2006). Traveling waves and spread rates for a West Nile virus model. Bull. Math. Biol., 68, 3-23.
12. Medlock, J., & Kot, M. (2003). Spreading disease: integro-differential equations old and new. Math. Biosci., 184, 201-222.
13. Mollison, D. (1977). Spatial contact models for ecological and epidemic spread. J. R. Stat. Soc. B, 39, 283-326.
14. Murray, J. D., Stanley, E. A., & Brown, D. L. (1986). On the spatial spread of rabies among foxes. Proc. R. Soc. Lond., 229, 111-1150.
15. Roellig, D. M., Brown, E. L., Barnabé, C., Tibayrenc, M., Steurer, F. J., & Yabsley, M. J. (2008). Molecular typing of Trypanosoma cruzi isolates, United States. Emerg. Infect. Dis., 14, 1123-1125.
16. Schönfisch, B. (1995). Propagation of fronts in cellular automata. Physica D, 80, 433-450.
17. Skellam, J. G. (1951). Random dispersal in theoretical populations. Biometrika, 38, 196-218.
18. Slimi, R., El Yacoubi, S., Dumonteil, E., & Gourbière, S. (2009). A cellular automata model for Chagas disease. Appl. Math. Model., 33, 1072-1085.
19. Sirakoulis, G. C., Karafyllidis, I., & Thanailakis, A. (2000). A cellular automaton model for the effects of population movement and vaccination on epidemic propagation. Ecol. Model., 133, 209-223.
20. Sun, G. Q., Liu, Q. X., Jin, Z., Chakraborty, A., & Li, B. L. (2010). Influence of infection rate and migration on extinction of disease in spatial epidemics. J. Theor. Biol., 624, 95-103.
21. White, S., Martín del Rey, A., & Rodríguez Sánchez, G. (2007). Modeling epidemics using cellular automata. Appl. Comput. Math., 186, 193-202.
22. Yabsley, M., Barnes, J., Ellise, A., Kjos, S., & Roxanne, C. (2012). Southern plains woodrats (Neotoma micropus) from southern Texas are important reservoirs of two genotypes of Trypanosoma cruzi and a host of a putative novel Trypanosoma species. Vector-Borne Zoonotic Dis., 13, 1-9.