Coexistence in predator-prey systems

Modeling and Differential Equations in Biology

Volumn , Issue , 2017, Pages 199-207

  Butler, G J ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

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[No Author keywords available]

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EID: 84983643131     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1201/9780203746912     Document Type: Chapter

References (17)

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2. R. A. Armstrong and R. McGehee, “Coexistence of species competing for shared resources,” (to appear).
3. G. J. Butler, “The transition from extinction to coexistence in a predator-prey model,” (to appear).
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5. C. S. Holling, “The functional response of predators to prey density and its role in mimicry and population regulation,” Mem. Entomol. Soc. Canada 45(1965), 5-60.
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9. A. L. Koch, “Competitive coexistence of two predators utilizing the same prey under constant environmental conditions,” J. Theor. Biol.44(1974), 378-386.
10. J. Kaplan and J. Yorke, “Competitive exclusion and nonequilibrium coexistence,” Amer. Natur. 111(1977), 1030-1036.
11. S. Levin, “Community equilibria and stability, and an extension of the competitive exclusion principle,” The American Naturalist 104, no. 939(1970), 413-423.
12. R. H. MacArthur, “Population ecology of some warblers of northeastern coniferous forests,” Ecology 39(1958), 599-619.
13. R. May, Stability and Complexity in Model Ecosystems. Princeton University Press, Princeton, New Jersey (1973).
14. R. McGehee and R. A. Armstrong, “Some mathematical problems concerning the ecological principle of competitive exclusion,” J. Differential Equations 23(1977), 33-52.
15. Z. Nitecki, “A periodic attractor determined by one function,” (to appear).
16. F. M. Stewart and B. R. Levin, “Partitioning of resources and the outcome of interspecific competition: a model and some general considerations,” Amer. Nat. 107(1973), 171-198.
17. J. Zicarelli, Mathematical analysis of a population model with several predators on a single prey. Ph.D. thesis, University of Minnesota, Minneapolis, Minnesota (1975).