Dynamics of experimental populations of native and introduced blowflies (diptera: Calliphoridae): Mathematical modelling and the transition from asymptotic equilibrium to bounded oscillations

Memorias do Instituto Oswaldo Cruz

Volumn 91, Issue 5, 1996, Pages 641-648

  Godoy, W A C ^a   Von Zuben, C J ^a   Dos Reis, S F ^b   Von Zuben, F J ^b  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

^b UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

Chiysomya megacephala; Chrysomya putoria; Cochliomyia macellaria; Population dynamics; Sensibility analysis

Indexed keywords

CALLIPHORIDAE; CHRYSOMYA MEGACEPHALA; CHRYSOMYA PUTORIA; COCHLIOMYIA MACELLARIA; DIPTERA; MEGACEPHALA; PUTORIA;

EID: 0001175812     PISSN: 00740276     EISSN: None     Source Type: Journal    
DOI: 10.1590/S0074-02761996000500018     Document Type: Article

References (44)

1. Allen JC. Shaffer WM, Rosko D 1993. Chaos reduces species extinction by amplifying local population noise. Nature 364. 229-232
2. Atkinson WD, Shorrocks B 1981. Competition on divided and ephemeral resources: A simulation model. J. Anim Ecol 50: 461-471.
3. Avancini RMP, Prado AP 1986. Oogenesis in Chryxomya putoria (Wiedemann) (Diptera. Calliphoridae). Int J Insect Morphol Embryol 15: 375-384.
4. Baumgartner DL, Greenberg B 1984. The genus Chrysomya (Diptera: Calliphoridae). J Med Entomol 21:105-113.
5. Brown MW 1993. Population dynamics of invading pests Factors governing sucess, p. 203-218. In KC Kim and BA McPheron (eds), Evolution of insect pests: Patterns of variation John Wiley & Sons, New York.
6. Catts EP, Goff ML 1992. Forensic entomology in criminal investigations. Annu Rev Entomol 37: 253-272.
7. Cavalieri LF, Koçak H 1995. Intermittent transition between order and chaos in an insect pest population. J theor Biol 175: 231-234.
8. Costantino RF, Cushing JM, Dennis B, Desharnais RA 1995. Experimentally induced transitions in the dynamic behaviour of insect populations. Nature 375: 227-230.
9. Dennis B, Desharnais RA, Cushing JM, Costantino RF 1995, Nonlinear demographic dynamics: Mathematical model, statistical methods, and biological experiments. Ecol Monogr 65: 261-281.
10. De Jong G 1976. A model of competition for food. I. Frequency dependent viabilities. Am Nat 110: 1013-1027.
11. Feigenbaum MJ 1983. Universal behavior in nonlinear systems. Physica 7D: 16-39.
12. Furlanetto SMP, Campos MLC, Harsi CM 1984. Microrganismos enteropatogênicos em moscas africanas pertencentes ao gênero Chrysomya (Diptera: Calliphoridae) no Brasil. Rev Microbiol 15: 170-174.
13. Godoy WAG, Reis SF, Von Zuben CJ, Ribeiro OB 1993. Population dynamics of Chrysomya putoria (Wied.) (Dipt., Calliphoridae). J App Ent 116: 163-169.
14. Godoy WAC, Von Zuben CJ, Reis SF, Von Zuben CJ 1996. Theoretical estimates of consumable food and probability of acquiring food in larvae of Chrysomya putoria (Diptera: Calliphoridae) Mem Inst Oswaldo Cruz 91:257-264.
15. Goobrod JR, Goff ML 1990. Effects of larval population density on rates of development and interactions between two species of Chrysomya (Diptera: Calliphoridae) in laboratory culture J Med Entomol 27: 338-343.
16. Greenberg B 1988. Chrysomya megacephala (F.) (Diptera. Calliphoridae) collected in North America and notes on Chrysomya species present in the New World. J Med Entomol 25. 199-200.
17. Greenberg B, Szyska ML 1984 Immature stages and biology of fifteen species of peruvian Calliphorid (Diptera) Ann Entomol Soc Am 77. 488-517.
18. Guimarães JH, Prado AP, Linhares AX 1978 Three newly introduced blowfly species in Southern Brazil (Diptera. Calliphoridae). Rev bras Entomol 22: 53-60
19. Guimarães JH, Prado AP, Buralli M 1979. Dispersal and distribution of three newly introduced species of Chrysomya Robineau-Desvoidy in Brasil (Diptera, Calliphoridae) Rev bras Entomol 23: 245-255.
20. Hanski I 1987 Carrion fly community dynamics: Patchiness, seasonality and coexistence. Ecol Entomol 12: 257-266.
21. Hengeveld R 1989. Dynamics of biological invasions. Chapman and Hall, London, 160 pp
22. Kamal AS 1958 Comparative study of thirteen species of sarcosaprophagous Calliphoridae and Sarcophagidae (Diptera) I Bionomics. Ann Entomol Soc Am 51 261-271
23. Linhares AX 1988. The gonotrophic cycle of Chrysomya megacephala (Diptera. Calliphoridae) in the laboratory. Rev bras Ent 32: 383-392.
24. Lodge DM 1993. Biological invasions: lessons for ecology. Trends Ecol Evol 8: 133-137.
25. Lomnicki A 1988. Population ecology of individuals. Princeton University Press, Princeton, 223 pp.
26. May RM 1976. Simple mathematical models with very complicated dynamics. Nature 261: 459-467.
27. May RM, Oster GF 1976. Bifurcations and dynamic complexity in simple ecological models. Am Nat 110: 573-599.
28. Moler C, Little J, Baugert S 1987. PC-MATLAB User's Guide, version 3.2-PC. The Mathworks, Inc., Sherborn.
29. Murray JD 1991. Mathematical biology. Springer-Verlag, Berlin, 787 pp.
30. Pimentel D 1993 Habitat factors in new pest invasions, p. 165-181. In KC Kim and BA McPheron (eds), Evolution of insect pests: Patterns of variation. John Wiley & Sons, New York.
31. Prado AP, Guimarães JH 1982. Estado atual da dispersão e distribuiçāo do gênero Chrysomya Robineau-Desvoidy na região neotropical (Diptera, Calliphoridae). Rev bras Ent 26: 225-231.
32. Prout T, McChesney F 1985. Competition among immatures affects their adult fertility: population dynamics. Am Nat 126: 521-558.
33. Ribeiro OB 1992. Dinâmica de equilíbrio ern populações experimentais de Cochliomyia macellaria (Diptera: Calliphoridae). Doctoral dissertation, Universidade Estadual de Campinas, 61 pp.
34. Reis SF, Stangenhaus G, Godoy WAC, Von Zuben CJ, Ribeiro OB 1994 Variação em caracteres bionômicos em função de densidade larval em Chrysomya megacephala e Chrysomya putoria (Diptera, Calliphoridae) Rev bras Ent 38: 33-46.
35. Reis SF, Teixeira MA, Von Zuben FJ, Godoy WAC, Von Zuben CJ 1996. Theoretical dynamics in experimental populations of introduced and native blowflies (Diptera: Calliphoridae). J Med Entomol. in press.
36. Rodriguez DJ 1989. A model of population dynamics for the fruit fly Drosophila melanogaster with density dependence in more than one life stage and delayed density effects. J Anim Ecol 58: 349-365
37. SAS Institute Inc. 1988. SAS/STAT User's Guide, Release 6 03 Edition. Cary, NC.
38. Smith KGV 1986. A manual of forensic entomology. University Printing House, Oxford, 205 pp.
39. Teixeira MA, Von Zuben FJ, Godoy WAC, Von Zuben CJ, Reis SF 1996. Delayed density dependence at the immature stage in insects and the dynamic behaviour of nonlinear difference equations. Ciência & Cultura. in press.
40. Von Zuben CJ, Reis SF, Val JBR, Godoy WAC, Ribeiro OB 1993. Dynamics of a mathematical model of Chrysomya megacephala (Diptera: Calliphoridae). J Med Entomol 30: 443-448.
41. Von Zuben CJ, Bassanezi RC. Reis SF, Godoy WAC, Von Zuben FJ 1996. Theoretical approaches to forensic entomology. I. Mathematical model of postfeeding larval dispersal. J Appl Ent. in press.
42. Wells JD 1991. Chrysomya megacephala (Diptera: Calliphoridae) has reached the continental United States: review of its biology, pest status, and spread around the world. J Med Entomol 28: 471-473.
43. Wijesundara DP 1957. The life-history and bionomics of Chrysomya megacephala (Fab.). Ceylon I Sci B25: 169-185
44. Zumpt F 1965 Myiasis in man and animals in the Old world. Butterworths, London, 267 pp.