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The Effect of Intermediate Advection on Two Competing Species

Averill, Isabel E.
http://rave.ohiolink.edu/etdc/view?acc_num=osu1324056383

Abstract Details

2012, Doctor of Philosophy, Ohio State University, Mathematics.
We study the dynamics of two competing species in a spatially heterogeneous but temporally constant habitat. Two species are assumed to have the same competitive ability but different dispersal strategies: one species disperses by random movement, while the other species adopts a combination of random movement and advection upward along the resource gradient. Previous works show that if there is no advection or the advection rate is small, the dynamics of this two-species competition system is driven by the difference between two random movement rates. More specifically, the species with the slower random movement rate will drive the other species to extinction. On the other hand, it was shown that if the advection rate is sufficiently large, both species can invade when rare and they can coexist. This left a gap between small and large advection. Since the dynamics of the system for small and large advection are so different, the transition between these two parameter regions is likely complex and interesting. The goal of this thesis is to understand the effect of intermediate advection on the dynamics of this two-species competition system. One of our main results provides a concrete range of advection strength for the coexistence of two competing species. Our results on the local stability of two semi-trivial steady states not only shed deeper insight into the invasion of species, but also illustrate three different kinds of transitions from small advection to large advection. Our numerical results strongly support predictions based upon our analytical results.
Yuan Lou, PhD (Advisor)
Ching-Shan Chou, PhD (Committee Member)
Barbara Keyfitz, PhD (Committee Member)
93 p.
Applied Mathematics
Reaction-diffusion-advection; competition; coexistence; extinction; Lotka-Volterra;

Recommended Citations

Citations

  • Averill, I. E. (2012). The Effect of Intermediate Advection on Two Competing Species [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1324056383

    APA Style (7th edition)

  • Averill, Isabel. The Effect of Intermediate Advection on Two Competing Species. 2012. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1324056383.

    MLA Style (8th edition)

  • Averill, Isabel. "The Effect of Intermediate Advection on Two Competing Species." Doctoral dissertation, Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1324056383

    Chicago Manual of Style (17th edition)

osu1324056383
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© 2011, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.