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Title: Effects of a Degeneracy in the Competition Model Part II.: Perturbation and Dynamical Behaviour
Contributor(s): Du, Y  (author)
Publication Date: 2002
Open Access: Yes
DOI: 10.1006/jdeq.2001.4075
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Abstract: This is the second part of our study on the competition model where the coefficient functions are strictly positive over the underlying spatial region Ω except b(x), which vanishes in a nontrivial subdomain of Ω, and is positive in the rest of Ω. In part I, we mainly discussed the existence of two kinds of steady-state solutions of this system, namely, the classical steady-states and the generalized steady-states. Here we use these solutions to determine the dynamics of the model. We do this with the help of the perturbed model where b(x) is replaced by b(x)+ε, which itself is a classical competition model. This approach also reveals the interesting relationship between the steady-state solutions (both classical and generalized) of the above system and that of the perturbed system.
Publication Type: Journal Article
Source of Publication: Journal of Differential Equations, 181(1), p. 133-164
Publisher: Academic Press
Place of Publication: United States
ISSN: 0022-0396
Field of Research (FOR): 010110 Partial Differential Equations
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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