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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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A reaction-diffusion model with spatiotemporal delay modeling the dynamical behavior of a single species is investigated. The parameter regions for the local stability, global stability and instability of the unique positive constant steady state solution are derived. The conditions of the occurrence of Turing (diffusion-driven) instability are obtained. The existence of time-periodic solutions, the existence and nonexistence of nonconstant positive steady state solutions are proved by bifurcation method and energy method. Numerical simulations are presented to verify and illustrate the theoretical results.
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참고문헌 (57)
참고문헌 신청
J. F. G. Auchmuty / 1975 / Bifurcation analysis of nonlinear reaction-diusion equations. I. Evolution equations and the steady state solutions / Bull. Math. Biology 37(4):323~365
N. F. Britton / 1989 / Aggregation and the competitive exclusion principle / J. Theoret. Biol 136(1):57~66
N. F. Britton / 1990 / Spatial structures and periodic travelling waves in an integro-dierential reaction-diusion population model / SIAM J. Appl. Math 50(6):1663~1688
K. J. Brown / 1995 / Global bifurcation in the Brusselator system / Nonlinear Anal 24(12):1713~1725
A. J. Catlla / 2012 / Instabilities and patterns in coupled reaction-diusion layers / Phy. Rev. E 85(2):026215
N. F. Britton / 1989 / Aggregation and the competitive exclusion principle / J. Theoret. Biol 136(1):57~66
N. F. Britton / 1990 / Spatial structures and periodic travelling waves in an integro-dierential reaction-diusion population model / SIAM J. Appl. Math 50(6):1663~1688
K. J. Brown / 1995 / Global bifurcation in the Brusselator system / Nonlinear Anal 24(12):1713~1725
A. J. Catlla / 2012 / Instabilities and patterns in coupled reaction-diusion layers / Phy. Rev. E 85(2):026215
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