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This paper is concerned with the pattern formation of a diffusive predator-prey model with two time delays. Based upon an analysis of Hopf bifurcation, we demonstrate that time delays can induce spatial patterns under some conditions. Moreover, by use of a series of numerical simulations, we show that the type of spatial patterns is the spiral wave. Finally, we demonstrate that the spiral wave is asymptotically stable.
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참고문헌 (23)
참고문헌 신청
A. M. Turing / 1952 / The chemical basisi of morphogenesis / Phil. Trans. London Ser. B 237 : 37 ~ 72
A. Madzvamuse / 2014 / Exhibiting cross-difussion-induced patterns for reaction-diffusion systems on evolving domains and surfaces / Phys. Rev. E 90 : 043307 ~
C. R. Tian / 2011 / Pattern formation for a model of plankton al-lelopathy with cross-diffusion / J. Franklin Inst 348 (8) : 1947 ~ 1964
C. R. Tian / 2012 / Delay-driven spatial patterns in a plankton allelopathic system / Chaos 22 : 013129 ~
C. R. Tian / 2013 / Delay-driven irregular spatiotemporal patterns in a plankton system / Phys. Rev. E 88 : 012713 ~
A. Madzvamuse / 2014 / Exhibiting cross-difussion-induced patterns for reaction-diffusion systems on evolving domains and surfaces / Phys. Rev. E 90 : 043307 ~
C. R. Tian / 2011 / Pattern formation for a model of plankton al-lelopathy with cross-diffusion / J. Franklin Inst 348 (8) : 1947 ~ 1964
C. R. Tian / 2012 / Delay-driven spatial patterns in a plankton allelopathic system / Chaos 22 : 013129 ~
C. R. Tian / 2013 / Delay-driven irregular spatiotemporal patterns in a plankton system / Phys. Rev. E 88 : 012713 ~
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