Insect-pathogen dynamics: Stage-specific susceptibility and insect density dependence

Mathematical Biosciences

Volumn 141, Issue 2, 1997, Pages 115-148

  Moerbeek, M ^a   Van Den Bosch, F ^a  

^a WAGENINGEN UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BIOLOGICAL PEST CONTROL; HOST PARASITE INTERACTION; INSECT; MODEL; NONHUMAN; STEADY STATE;

AGRICULTURE; ANIMALS; DISEASE SUSCEPTIBILITY; INSECT CONTROL; INSECTS; MODELS, STATISTICAL; MODELS, THEORETICAL; PEST CONTROL, BIOLOGICAL; POPULATION DYNAMICS; SOFTWARE;

BIOCONTROL AGENT; DENSITY DEPENDENCE; DISEASE SUSCEPTIBILITY; HOST-PATHOGEN MODEL; PATHOGEN;

EID: 0030619448     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(96)00175-7     Document Type: Article

References (26)

1. C. J. Briggs and H. C. J. Godfray, The dynamics of insect-pathogen interactions in stage-structured populations. Am. Nat. 145, 855-887 (1995).
2. H. D. Burges, Microbial Control of Pests and Plant Diseases. Academic Press, London, New York, 1981.
3. T. R. Glare and T. A. Jackson, Eds., Use of Pathogens in Scarab Past Management. Intercept Ltd., Andover, Hampshire, UK, 1992.
4. J. R. Fuxa, Ecological considerations for the use of entomopathogens in IPM. Annu. Rev. Entomol. 32, 225-251 (1987).
5. A. E. Hajek and R. J. St. Leger, Interactions between fungal pathogens and insect hosts. Annu. Rev. Entomol 39, 293-332 (1994).
6. H. K. Kaya and R. Gaugler, Entomopathogenic nematodes. Annu. Rev. Entomol. 38, 181-206 (1993).
7. T. S. Larkin, A. W. Sweeney, and R. I. Carruthers, Simulation of the dynamics of a microbian pathogen of mosquitoes. Ecol. Model. 77, 143-165 (1995).
8. J. V. Maddox, The effect of regulations on the use of insect pathogens as biological control agents. In Regulations and Guidelines: Critical Issues in Biological Control, R. K. Charudattan and H. W. Browning, Eds., Univ. Florida, Gainesville, 1992.
9. D. W. Onstad and R. I. Carruthers, Epizootiological models of insect diseases. Annu. Rev. Entomol. 35, 399-419 (1990).
10. R. M. Anderson and R. M. May, Infectious diseases and population cycles of forest insects. Science 210, 658-661 (1980).
11. R. M. Anderson and R. M. May, The popualtion dynamics of microparasites and their invertebrate hosts. Philos. Trans. R. Soc. Lond. Ser. B 291, 451-524 (1980).
12. G. Dwyer, Density dependence and spatial structure in the dynamics of insect pathogens. Am. Nat. 143, 533-562 (1994).
13. M. E. Hochberg, The potential role of pathogens in biological control. Nature 337, 262-265 (1989).
14. M. Begon, R. G. Bowers, N. Kadianakis, and D. E. Hodgkinson, Disease and community structure: the importance of host self-regulation in a host-host-pathogen model. Am. Nat. 139, 1131-1150 (1992).
15. R. G. Bowers, M. Begon, and D. E. Hodgkinson, Host-pathogen population cycles in forest insects? Lessons from simple models reconsidered. Oikos 67, 529-538 (1993).
16. G. C. Brown, Stability in an insect-pathogen mode incorporating age-dependent immunity and seasonal host reproduction. Bull. Math. Biol. 46, 139-153 (1984).
17. J. H. Myers, Can a general hypothesis explain population cycles of forest Lepidoptera? Adv. Ecol. Res. 18, 179-242 (1988).
18. D. W. Onstad and R. I. Carruthers, Epizootiological models of insect diseases. Annu. Rev. Entomol. 35, 399-419 (1990).
19. W. S. C. Gurney, R. M. Nisbet, and J. H. Lawton, The systematic formulation of tractable single-species population models incorporating age structure. J. Anim. Ecol. 52, 479-495 (1983).
20. J. R. Beddington, M. P. Hassel, and J. H. Lawton, The components of arthropod predation. J. Anim. Ecol. 45, 165-185 (1976).
21. M. P. Hassel, The Dynamics of Arthopod Predator-Prey Systems. Princeton Univ. Press, Princeton, NJ, 1978.
22. W. S. C. Gurney, S. P. Blythe, and R. M. Nisbet, Nicholson's blowflies revisited. Nature 287, 17-21 (1980).
23. R. Bellman and K. L. Cooke, Differential-Difference Equations. Academic Press, New York, 1963.
24. W. S. C. Gurney and R. M. Nisbet, Fluctuation periodicity, generation separation and the expression of larval competition. Theor. Popul. Biol. 28, 150-180 (1985).
25. G. Looss and D. D. Joseph, Elementary Stability and Bifurcation Theory, Springer-Verlag, New York, Heidelberg, Berlin, 1980.
26. P. Maas, W. S. C. Gurney, and R. M. Nisbet, SOLVER: An adaptable program template for initial value problem solving. Applied Physics Industrial Consultants, Univ. Strathclyde, Glasgow, 1982; revised 1984.