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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.
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The present paper is concerned with a two-competitor/one-prey population system with Holling type-II functional response and two discrete delays. By linearizing the system at the positive equilibrium and analyzing the associated characteristic equation, the asymptotic stability of the positive equilibrium and existence of local Hopf bifurcations are investigated. Particularly, by applying the normal form theory and the center manifold reduction for functional differential equations (FDEs),explicit formulae determining the direction of bifurcations and the sta-bility of bifurcating periodic solutions are derived. Finally, to verify our theoretical predictions, some numerical simulations are also included at the end of this paper.
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참고문헌 (25)
참고문헌 신청
A. J. Lotka / 1925 / Elements of Physical Biology / Williams and Wilkins
B. D. Hassard / 1981 / Theory and Applications of Hopf bifurcation / Cambridge University Press
B. Patra / 2009 / Effect of time-delay on a ratio-dependent food chain model / Nonlinear Anal. Model. Control 14 (2) : 199 ~ 216
D. Xiao / 2003 / Stability and bifurcation in a delayed ratio-dependent predator-prey system / Proc. Edinb. Math. Soc 46 (1) : 205 ~ 220
G. J. Butler / 1981 / Bifurcation from a limit cycle in a two predator-one prey ecosystem modeled on a chemostat / J. Math. Biol 12 (3) : 295 ~ 310
B. D. Hassard / 1981 / Theory and Applications of Hopf bifurcation / Cambridge University Press
B. Patra / 2009 / Effect of time-delay on a ratio-dependent food chain model / Nonlinear Anal. Model. Control 14 (2) : 199 ~ 216
D. Xiao / 2003 / Stability and bifurcation in a delayed ratio-dependent predator-prey system / Proc. Edinb. Math. Soc 46 (1) : 205 ~ 220
G. J. Butler / 1981 / Bifurcation from a limit cycle in a two predator-one prey ecosystem modeled on a chemostat / J. Math. Biol 12 (3) : 295 ~ 310
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