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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.23 No.2
- 발행연도
- 2019.6
- 수록면
- 139 - 155 (17page)
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초록· 키워드
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In this paper, we study the asymptotic behavior and Hopf bifurcation of the modified Holling-Tanner models for the predator-prey interactions in the absence of diffusion. Further the direction of Hopf bifurcation and stability of bifurcating periodic solutions are investigated. Diffusion driven instability of the positive equilibrium solutions and Turing instability region regarding the parameters are established. Finally we illustrate the theoretical results with some numerical examples.
목차
ABSTRACT
1. INTRODUCTION
2. LOCAL STABILITY AND HOPF BIFURCATION
3. DIFFUSION-DRIVEN INSTABILITY OF THE EQUILIBRIUM SOLUTION
4. DIRECTION OF HOPF BIFURCATION AND THE STABILITY OF THE BIFURCATING PERIODIC SOLUTION
5. NUMERICAL STUDIES
6. CONCLUSION
REFERENCES
참고문헌 (27)
참고문헌 신청
J.T. Tanner / 1975 / The stability and the intrinsic growth rates of prey and predator populations / Ecol 56:855~867
D.J. Wollkind / 1988 / Metastability in a temperature-dependent model system for predator-prey mite Outbreak interactions on fruit fies / Bull. Math. Biol 50:379~409
E. Saez / 1999 / Dynamics of a predator-prey model / SIAM J. Appl. Math 59:1867~1878
M.P. Hassell / 1978 / The Dynamics of Arthropod Predator-Prey Systems / Princeton University Press
C.S. Holling / 1965 / The functional response of invertebrate predators to prey density / Mem. Ent. Soc. Can 45:3~60
D.J. Wollkind / 1988 / Metastability in a temperature-dependent model system for predator-prey mite Outbreak interactions on fruit fies / Bull. Math. Biol 50:379~409
E. Saez / 1999 / Dynamics of a predator-prey model / SIAM J. Appl. Math 59:1867~1878
M.P. Hassell / 1978 / The Dynamics of Arthropod Predator-Prey Systems / Princeton University Press
C.S. Holling / 1965 / The functional response of invertebrate predators to prey density / Mem. Ent. Soc. Can 45:3~60
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UCI(KEPA) : I410-ECN-0101-2019-410-000881488