Competition and dispersal delays in patchy environments

Mathematical Biosciences and Engineering

Volumn 3, Issue 2, 2006, Pages 283-296

  Azer, Nancy ^a   Van Den Driessche, P ^a  

^a UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Coexistence; Competition; Dispersal delay; Patch model; Stability

Indexed keywords

EID: 33846881312     PISSN: 15471063     EISSN: 15510018     Source Type: Journal    
DOI: 10.3934/mbe.2006.3.283     Document Type: Article

References (9)

1. S.A. Gourley and Y. Kuang, Two-species competition with high dispersal: The winning strategy, Mathematical Biosciences and Engineering 2(2005) 345-362.
2. Y. Kuang, "Delay Differential Equations With Applications in Population Dynamics," Mathematics in Science and Engineering 191, Academic Press, San Diego, 1993.
3. S. Levin, Dispersion and population interactions, The American Naturalist 108(1974), 207-228.
4. J.D. Murray, "Mathematical Biology," Springer-Verlag, New York, 1989.
5. M.G. Neubert, P. Klepac, and P. van den Driessche, Stabilizing dispersal delays in predatorprey metapopulation models, Theoretical Population Biology 61(2002), 339-347.
6. H.L. Smith, "Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems," Mathematical Surveys and Monographs 41, American Mathematical Society, Providence Rhode Island, 1995.
7. Y. Takeuchi, "Global Dynamical Properties of Lotka-Volterra Systems," World Scientific Publishing Co. Pte. Ltd., Singapore, 1996.
8. P. van den Driessche and M.L. Zeeman, Disease induced oscillations between two competing species, SIAM Journal of Applied Dynamical Systems 3(2004), 601-619.
9. P. Yodzis, "Introduction to Theoretical Ecology," Harper and Row, New York, 1989.