On a boom and bust year class cycle

Journal of Difference Equations and Applications

Volumn 11, Issue 4-5, 2005, Pages 327-335

  Diekmann, Odo ^a   Davydova, Natalia ^a   Van Gils, Stephan ^b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

Heteroclinic cycle; Leslie matrix model; Semelparous species

Indexed keywords

EID: 22544486577     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/10236190412331335409     Document Type: Review

References (12)

1. Bulmer, M.G., 1977, Periodical insects, The American Naturalist, 111, 1099-1117.
2. Cushing, J.M., 2003, Cycle chains and the LPA model, Journal of Difference Equations and Applications, 9(7), 655-670.
3. Cushing, J.M., 1998, An introduction to structured population dynamics. CBMS-NSF Regional Conference Series in Applied Math, Vol. 71 (Philadelphia: SIAM).
4. Gushing, J.M., et al. 2003, Chaos in Ecology (Academic Press, Elsevier Science).
5. Davydova, N.V., 2004, Old and Young. Can they coexist? Ph.D. Thesis of Utrecht University, Netherlands.
6. Davydova, N.V., Diekmann, O. and van Gils, S.A., 2003, Year class coexistence or competitive exclusion for strict biennials?, Journal of Mathematical Biology, 46, 95-131.
7. Davydova, N.V., Diekmann, O., van Gils, S.A., On circulant population. I. The algebra of semelparity. Linear Algebra and its Applications, 398, 185-243.
8. Diekmann, O., Gyllenberg, M., Huang, H., Kirkilionis, M., Metz, J.A.J. and Thieme, H.R., 2001, On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory, Journal Mathematical Biology, 43, 157-189.
9. Diekmann, O., Gyllenberg, M. and Metz, J.A.J., 2003, Steady state analysis of structured population models, Theoretical Population Biology, 63, 309-338.
10. Hofbauer, J. and Sigmund, K., 1998, Evolutionary Games and Population Dynamics (Cambridge: Cambridge University Press).
11. Smith, H.L., 1998, Planar competitive and cooperative difference equations, Journal of Difference Equations and Applications, 3, 335-357.
12. Wang, Y. and Jiang, J., 2002, Uniqueness and attractivity of the carrying simplex for discrete-time competitive dynamical systems, Journal of Differential Equations, 186, 611-632.