Coexistence of competing juvenile–adult structured populations

Journal of Biological Dynamics

Volumn 1, Issue 2, 2007, Pages 201-231

  Cushing, J M ^a   Henson, Shandelle M ^b   Roeger, Lih Ing ^c  

^a The University of Arizona   (United States)

^b ANDREWS UNIVERSITY   (United States)

^c TEXAS TECH UNIVERSITY   (United States)

Author keywords

Competitive exclusion principle; Non equilibrium coexistence; Stage structured populations

Indexed keywords

AGING; ANIMAL; ARTICLE; BEETLE; BIOLOGICAL MODEL; COMPETITIVE BEHAVIOR; GROWTH, DEVELOPMENT AND AGING; LIFE CYCLE STAGE; PHYSIOLOGY; POPULATION DENSITY; POPULATION DYNAMICS;

AGING; ANIMALS; BEETLES; COMPETITIVE BEHAVIOR; LIFE CYCLE STAGES; MODELS, BIOLOGICAL; POPULATION DENSITY; POPULATION DYNAMICS;

EID: 79957451758     PISSN: 17513758     EISSN: 17513766     Source Type: Journal    
DOI: 10.1080/17513750701201372     Document Type: Article

References (24)

1. Gause, G. F., 1934. The Struggle for Existence, New York:Hafner Press. (reprinted 1964)
2. Park, T., 1948. Experimental studies of interspecies competition. I, Competition between populations of the flour beetles Tribolium confusum Duval and Tribolium castaneum Herbst. Ecological Monographs, 18:265–308.
3. Park, T., 1954. Experimental studies of interspecies competition. II, temperature humidity and competition in two species of Tribolium. Physiological Zoology, 27:177–238.
4. Park, T., 1957. Experimental studies of interspecies competition. III, Relation of initial species proportion to the competitive outcome in populations of Tribolium. Physiological Zoology, 30:22–40.
5. Park, T., Leslie, P. H., and Mertz, D. B., 1964. Genetic strains and competition in populations of Tribolium. Physiological Zoology, 37:97–162.
6. Leslie, P. H., Park, T., and Mertz, D. M., 1968. The effect of varying the initial numbers on the outcome of competition between two Tribolium species. Journal of Animal Ecology, 37:9–23.
7. Pielou, E. C., 1969. Mathematical Ecology, 23New York:John Wiley & Sons.
8. Beverton, R. J.H., and Holt, S. J., 1957. “ On the dynamics of exploited fish populations ”. In Fishery Investigations Series 2, Vol. 19, London:HMSO.
9. Fujita, H., and Utida, F., 1953. The effect of population density on the growth of an animal population. Ecology, 34:488–498.
10. Leslie, P. H., 1948. Some further notes on the use of matrices in population mathematics. Biometrika, 35:213–245.
11. Leslie, P. H., and Gower, J. C., 1958. The properties of a stochastic model for two competing species. Biometrika, 45:316–330.
12. Cushing, J. M., LeVarge, S., Chitnis, N., and Henson, S. M., 2004. Some discrete competition models and the competitive exclusion principle. Journal of Difference Equations and Applications, 10:1139–1151.
13. Smith, H. L., 1998. Planar competitive and cooperative difference equation. Journal of Difference Equations and Applications, 3:335–357.
14. Edmunds, J., Cushing, J. M., Costantino, R. F., Henson, S. M., Dennis, B., and Desharnais, R. A., 2003. Park’s Tribolium competition experiments:a non-equilibrium species coexistence hypothesis. Journal of Animal Ecology, 72:703–172.
15. Cushing, J. M., Costantino, R. F., Dennis, B., Desharnais, R. A., and Henson, S. M., 2002. Chaos in Ecology:Experimental Nonlinear Dynamics, New York:Academic Press.
16. Costantino, R. F., Desharnais, R. A., Cushing, J. M., Dennis, B., Henson, S. M., and King, A. A., 2005. The flour beetle Tribolium as an effective tool of discovery. Advances in Ecological Research, 37:101–141.
17. Edmunds, J., 2001. “ A study of a stage-structured model of two competing species ”. The University of Arizona. Ph.D. dissertation
18. Cushing, J. M., and LeVarge, S., Some discrete competition models and the principle of competitive exclusion. Proceedings of the 9th International Conference. Difference Equations and Discrete Dynamical Systems, World Scientific, Singapore
19. Cushing, J. M., CBMS-NSF Regional conference Series in Applied Mathematics. An Introduction to Structured Population Dynamics, Vol. 71, Philadelphia:SIAM.
20. Cushing, J. M., and Yicang, Zhou. 1994. The net reproductive value and stability in structured population models. Natural Resource Modeling, 8:1–37.
21. Cushing, J. M., and to. Matrix Models and Population Dynamics, Providence, RI:American Mathematical Society. appear, IAS/Park City Mathematics Series
22. Kon, R., Saito, Y., and Takeuchi, Y., 2004. Permanence of single-species stage-structured models. Journal of Mathematical Biology, 48:515–528.
23. Cushing, J. M., 2006. Nonlinear semelparous Leslie models. Mathematical Biosciences and Engineering, 3:17–36.
24. Kulenovic, M., and Merino, O., 2006. Competitive-exclusion versus competitive-coexistence for systems in the plane. Discrete and Continuous Dynamical Systems, Series B, 6:1141–1156.