지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.17 No.2
- 발행연도
- 2013.6
- 수록면
- 129 - 138 (10page)
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초록· 키워드
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A spatio-temporal models as systems of ODE which describe two-species Beddington - DeAngelis type predator-prey system living in a habitat of two identical patches linked by migration is investigated. It is assumed in the model that the per capita migration rate of each species is influenced not only by its own but also by the other one’s density, i.e. there is cross diffusion present. We show that a standard (self-diffusion) system may be either stable or unstable, a cross-diffusion response can stabilize an unstable standard system and destabilize a stable standard system. For the diffusively stable model, numerical studies show that at a critical value of the bifurcation parameter the system undergoes a Turing bifurcation and the cross migration response is an important factor that should not be ignored when pattern emerges.
목차
ABSTRACT
1. INTRODUCTION
2. THE MODEL
3. THE EFFECTS OF A SELF-DIFFUSION RESPONSE
4. THE EFFECTS OF A CROSS-DIFFUSION RESPONSE
5. CONCLUSIONS
REFERENCES
참고문헌 (10)
참고문헌 신청
Aly S. / 2006 / Bifurcations in a predator-prey model with diffusion and memory / Int. Journal of Bifurcation and Chaos 16(6):1855~1863
Aly S. / 2004 / Bifurcation in a predator-prey model in patchy Environment with diffusion / Nonlinear Analysis: Real World Applications 5:519~526
Aly S. / 2004 / Bifurcation in a predator-prey model in patchy environment with cross-diffusion / Annales Univ. Sci. Budapest 47:143~153
Turing A. M / 1990 / The chemical basis of morphogenesis / 237 52(1953):37~72
Dieckmann O. / 2000 / The Geometry of Ecological Interaction: Simplifying Spatial Complexity / Cambridge University Press
Aly S. / 2004 / Bifurcation in a predator-prey model in patchy Environment with diffusion / Nonlinear Analysis: Real World Applications 5:519~526
Aly S. / 2004 / Bifurcation in a predator-prey model in patchy environment with cross-diffusion / Annales Univ. Sci. Budapest 47:143~153
Turing A. M / 1990 / The chemical basis of morphogenesis / 237 52(1953):37~72
Dieckmann O. / 2000 / The Geometry of Ecological Interaction: Simplifying Spatial Complexity / Cambridge University Press
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UCI(KEPA) : I410-ECN-0101-2014-400-002488281