【摘要】 研究了一类具有B-D反应函数的交错扩散捕食模型,利用常微分方程稳定性理论和积分不等式及拓扑度理论证明了交错扩散引起的正平衡点Turing失稳和交错扩散充分大时系统存在非常数正平衡解.更多还原

【Abstract】 A class of cross-diffusion prey-predator model with B-D reaction function is studied. By using the stability theory of ordinary differential equation and Topological method,it is proved that cross-diffusion coefficient leads to Turing instability and the cross-diffusion is sufficiently large,there is a positive non-constant equilibrium solution.更多还原