The Effects of Seasonal Forcing on Invertebrate-Disease Interactions with Immune Priming

Bulletin of Mathematical Biology

Volumn 75, Issue 11, 2013, Pages 2241-2256

  Best, Alex ^a,b  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

^b UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

Bifurcation analysis; Host pathogen; Immune priming; Seasonal forcing

Indexed keywords

INVERTEBRATA;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; COMMUNICABLE DISEASE; COMPUTER PROGRAM; COMPUTER SIMULATION; DISEASE TRANSMISSION; EPIDEMIOLOGY; HOST PATHOGEN INTERACTION; HUMAN; IMMUNOLOGY; INVERTEBRATE; MATHEMATICAL PHENOMENA; SEASON;

ANIMALS; COMMUNICABLE DISEASES; COMPUTER SIMULATION; EPIDEMIOLOGIC FACTORS; HOST-PATHOGEN INTERACTIONS; HUMANS; INVERTEBRATES; MATHEMATICAL CONCEPTS; MODELS, BIOLOGICAL; SEASONS; SOFTWARE;

EID: 84892880997     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-013-9889-3     Document Type: Article

References (34)

1. Altizer, S., Dobson, A., Hosseini, P., Hudson, P. J., Pascual, M., & Rohani, P. (2006). Seasonality and the dynamics of infectious disease. Ecol. Lett., 9, 467.
2. Anderson, R. M., & May, R. M. (1979). Population biology of infectious diseases: part I. Nature, 280, 361-367.
3. Anderson, R. M., & May, R. M. (1980). Infectious diseases and population cycles of frest insects. Science, 210, 658-661.
4. Aron, J. L., & Schartz, I. B. (1984). Seasonality and period-doubling bifurcations in an epidemic model. J. Theor. Biol., 110, 665-679.
5. Berryman, A. A. (1996). What causes population cycles of forest Lepidoptera. Trends Ecol. Evol., 11, 28-32.
6. Best, A., Tidbury, H., White, A., & Boots, M. (2013). The evolutionary dynamics of within-generation immune priming in invertebrate hosts. J. R. Soc. Interface, 10, 20120887.
7. Bolzoni, L., Dobson, A. P., Gatto, M., & De Leo, G. A. (2008). Allometric scaling and seasonality in the epidemics of wildlife diseases. Am. Nat., 172, 818-828.
8. Bonsall, M. B. (2004). The impact of diseases and pathogens on insect population dynamics. Physiol. Entomol., 29(3), 223-236.
9. Casagrandi, R., Bolzoni, L., Levin, S. A., & Andreasen, V. (2006). The SIRC model and influenza A. Math. Biosci., 200, 152-169.
10. Childs, D. Z., & Boots, M. (2010). The interaction of seasonal forcing and immunity and the resonance dynamics of malaria. J. R. Soc. Interface, 7, 309-319.
11. Doedel, E. J. (2007). http://indy. cs. concordia. ca/auto.
12. Doedel, E. J., & Oldeman, B. E. (2009). AUTO-07P: Continuation and bifurcation software for ordinary differential equations. Technical report, Concordia University, Montreal, Canada.
13. Earn, D., Rohani, P., Bolker, B., & Grenfell, B. T. (2000). A simple model for complex dynamical transitions in epidemics. Science, 287, 667-670.
14. Glendinning, P., & Perry, L. P. (1997). Melnikov analysis of chaos in a simple epidemiological model. J. Math. Biol., 35, 359-373.
15. Greenman, J. V., Kamo, M., & Boots, M. (2004). External forcing of ecological and epidemiological systems: a resonance approach. Physica D, 190, 136-151.
16. Kermack, W. O., & McKendrick, A. G. (1927). Contributions to the mathematical theory of epidemics-1. Proc. R. Soc. Lond. B, Biol. Sci., 115A, 700-721.
17. Kuznetsov, Y., Muratori, S., & Rinaldi, S. (1992). Bifurcations and chaos in a periodic predator-prey model. Int. J. Bifurc. Chaos, 2, 117-128.
18. Kuznetsov, Y., & Piccardi, C. (1994). Bifurcation analysis of periodic SEIR and SIR epidemic models. J. Math. Biol., 32, 109-121.
19. Kuznetsov, Y. (1995). Elements of applied bifurcation theory. Berlin: Springer.
20. Little, T., & Kraaijeveld, A. R. (2004). Evological and evolutionary implications of immunological priming in invertebrates. Trends Ecol. Evol., 19, 58-60.
21. Little, T., O'Connor, B., Colgrave, N., Watt, K., & Read, A. F. (2003). Maternal transfer of strain-specific immunity in an invertebrate. Curr. Biol., 13, 489-492.
22. Moret, Y., & Siva-Jothy, M. T. (2003). Adaptive innate immunity? Responsive-mode prophylaxis in the mealworm beatle Tenebrio molitor. Proc. R. Soc. Lond. B, Biol. Sci., 270, 2475-2480.
23. Myers, J. H. (1988). Can a general hypothesis explain population cycles in forest Lepidoptera? In M. Begon, A. H. Fitter, E. D. Ford & A. Macfayden (Eds.), Advances in ecological research (Vol. 18). San Diego: Academic Press.
24. Rinaldi, S., Muratori, S., & Kuznetsov, Y. (1993). Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities. Bull. Math. Biol., 55, 15-35.
25. Roth, O., Sadd, B. M., Schmid-Hempel, P., & Kurtz, J. (2009). Strain-specific priming of resistance in the red flour beetle, Tribolium castaneum. Proc. R. Soc. Lond. B, Biol. Sci., 276, 145-151.
26. Sadd, B. M., & Schmid-Hempel, P. (2006). Insect immunity shows specificity in protection upon secondary pathogen exposure. Curr. Biol., 16, 1206-1210.
27. Schmid-Hempel, P. (2005). Evolutionary ecology of insect immune defenses. Annu. Rev. Entomol., 50, 529-551.
28. Schwartz, I. B. (1985). Multiple stable recurrent outbreaks and predictability in seasonally forced nonlinear epidemic models. J. Math. Biol., 21, 347-361.
29. Smith, H. L. (1983). Subharmonic bifurcation in an S-I-R epidemic model. J. Math. Biol., 17, 163-177.
30. Tate, A. T., & Rudolf, V. H. W. (2011). Impact of life stage specific immune priming on invertebrate disease dynamics. Oikos.
31. Taylor, R. A., Sherratt, J. A., & White, A. (2012, in press). Seasonal forcing and multi-year cycles in interacting populations: lessons from a predator-prey model. J. Math. Biol. doi: 10. 1007/s00285-012-0612-z.
32. Tidbury, H., Pedersen, A. B., & Boots, M. (2011). Within and transgenerational immune priming in an insect to a dna virus. Proc. R. Soc. Lond. B, Biol. Sci., 278, 871-876.
33. Tidbury, H., Best, A., & Boots, M. (2012). The epidemiological consequences of immune priming. Proc. R. Soc. Lond. B, Biol. Sci., 279, 4505-4512.
34. White, A., Bowers, R. G., & Begon, M. (1996). Host-pathogen cycles in self-regulated forest insect systems: resolving conflicting predictions. Am. Nat., 148, 220-225.