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DIFFUSIVE PREDATOR-PREY MODELS WITH STAGE STRUCTURE ON PREY AND BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSES
- Authors
- Lee, Seong; Ahn, Inkyung
- Issue Date
- 3월-2017
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Keywords
- Diffusive predator-prey model; Beddington-DeAngelis functional response; time delay; stage structure on prey; locally/globally asymptotically stable
- Citation
- COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v.16, no.2, pp.427 - 441
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
- Volume
- 16
- Number
- 2
- Start Page
- 427
- End Page
- 441
- ISSN
- 1534-0392
- Abstract
- In this paper, we examine a diffusive predator-prey model with Beddington-DeAngelis functional response and stage structure on prey under homogeneous Neumann boundary conditions, where the discrete time delay covers the period from the birth of immature prey to their maturity. We investigate the dynamics of their permanence and the extinction of the predator, and provide sufficient conditions for the global attractiveness and the locally asymptotical stability of the semi-trivial and coexistence equilibria.
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Related Researcher
- Ahn, In Kyung
- 과학기술대학 (응용수리과학부 데이터계산과학전공)