• turing patterns of a strongly coupled predator–prey system with diffusion effects

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1390/01/01
    • تاریخ انتشار در تی پی بین: 1390/01/01
    • تعداد بازدید: 360
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
    the main purpose of this work is to investigate the effects of cross-diffusion in a strongly coupled predator–prey system. by a linear stability analysis we find the conditions which allow a homogeneous steady state (stable for the kinetics) to become unstable through a turing mechanism. in particular, it is shown that turing instability of the reaction–diffusion system can disappear due to the presence of the cross-diffusion, which implies that the cross-diffusion induced stability can be regarded as the cross-stability of the corresponding reaction–diffusion system. furthermore, we consider the existence and non-existence results concerning non-constant positive steady states (patterns) of the system. we demonstrate that cross-diffusion can create non-constant positive steady-state solutions. these results exhibit interesting and very different roles of the cross-diffusion in the formation and the disappearance of the turing instability.

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