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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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We consider a bistable attraction-repulsion chemotaxis system in one dimension. The study in this paper asserts that conditions for chemotactic coefficients for attraction and repulsion to show existence of stationary solutions and Hopf bifurcation in the interfacial problem as the bifurcation parameters vary are obtained analytically.
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참고문헌 (17)
참고문헌 신청
M.Aida / 2006 / Lower estimate of the attractor dimension for a chemotaxis growth system / J. London Math. Soc 74:453~474
M.G.Crandall / 1978 / The Hopf Bifurcation Theorem in Infinite Dimensions / Arch. Rat. Mech. Anal 67:53~72
P.Fife / 1988 / Dynamics of internal layers and diffusive interfaces / CMBS-NSF Regional Conference Series in Applied Mathematics 53
Y.M.Ham / 1994 / A Hopf bifurcation in a parabolic free boundary problem / J. of Comput. Appl. Math 52:305~324
K.Ikeda / 2012 / Traveling wave solutions of a 3-component reaction-diffusion model in smoldering combustion / Commun. Pur. Appl. Anal 11:275~305
M.G.Crandall / 1978 / The Hopf Bifurcation Theorem in Infinite Dimensions / Arch. Rat. Mech. Anal 67:53~72
P.Fife / 1988 / Dynamics of internal layers and diffusive interfaces / CMBS-NSF Regional Conference Series in Applied Mathematics 53
Y.M.Ham / 1994 / A Hopf bifurcation in a parabolic free boundary problem / J. of Comput. Appl. Math 52:305~324
K.Ikeda / 2012 / Traveling wave solutions of a 3-component reaction-diffusion model in smoldering combustion / Commun. Pur. Appl. Anal 11:275~305
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