지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
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We formulate and study a predator-prey model with non-monotonic functional response type and weak Allee effects on the prey,which extends the system studied by Ruan and Xiao in [Global analysisin a predator-prey system with nonmonotonic functional response, SIAMJ. Appl. Math. 61 (2001), no. 4, 1445–1472] but containing an extraterm describing weak Allee effects on the prey. We obtain the global dy-namics of the model by combining the global qualitative and bifurcationanalysis. Our bifurcation analysis of the model indicates that it exhibitsnumerous kinds of bifurcation phenomena, including the saddle-node bi-furcation, the supercritical and the subcritical Hopf bifurcations, and thehomoclinic bifurcation, as the values of parameters vary. In the genericcase, the model has the bifurcation of cusp type of codimension 2 (i.e.,Bogdanov-Takens bifurcation).
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참고문헌 (28)
참고문헌 신청
A. Deredec / 2003 / Extinction thresholds in host-parasite dynamics / Ann. Zool. Fenn 40 : 115 ~ 130
A. J. Lotka / 1926 / Elements of Physical Biology / Williams & Wilkins
A. Kent / 2003 / Consequences for predators of rescue and Allee effects on prey / Ecol. Model 162 : 233 ~ 245
A. Yakubu / 2003 / Multiple attractors in juvenile-adult single species models / J. Difference Equ. Appl 9 (12) : 1083 ~ 1098
C. W. Clark / 1990 / Mathematical Bioeconomics, The Optimal Management of Renewable Resources / John Wiley & Sons Inc.
A. J. Lotka / 1926 / Elements of Physical Biology / Williams & Wilkins
A. Kent / 2003 / Consequences for predators of rescue and Allee effects on prey / Ecol. Model 162 : 233 ~ 245
A. Yakubu / 2003 / Multiple attractors in juvenile-adult single species models / J. Difference Equ. Appl 9 (12) : 1083 ~ 1098
C. W. Clark / 1990 / Mathematical Bioeconomics, The Optimal Management of Renewable Resources / John Wiley & Sons Inc.
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