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A qualitative study on general Gause-type predator-prey models with constant diffusion rates
- Authors
- Ko, Wonlyul; Ryu, Kimun
- Issue Date
- 1-8월-2008
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- non-constant positive solution; locally/globally asymptotically stable; functional response; Hopf bifurcation; persistence
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.344, no.1, pp.217 - 230
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 344
- Number
- 1
- Start Page
- 217
- End Page
- 230
- ISSN
- 0022-247X
- Abstract
- In this paper, we study the qualitative behavior of non-constant positive solutions on a general Gause-type predator-prey model with constant diffusion rates under homogeneous Neumann boundary condition. We show the existence and non-existence of non-constant positive steady-state solutions by the effects of the induced diffusion rates. In addition, we investigate the asymptotic behavior of spatially inhomogeneous solutions, local existence of periodic solutions, and diffusion-driven instability in some eigenmode. (C) 2008 Elsevier Inc. All rights reserved.
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