【摘要】 研究了一类生物趋化模型.首先用经典李对称分析得到了其对称群与群不变解,然后利用动力系统几何方法得到了扭波解、爆破行波解的参数表示和分支参数条件,进而得到了该生物趋化模型的解析解.更多还原

【Abstract】 This article is concerned with a biological chemotaxis model.Firstly,the symmetric group and groupinvariant solutions are obtained by using the classical Lie symmetry analysis.Then the parametric expression andthe bifurcation parameter conditions of the kink wave solutions and blow-up wave solutions are obtained by usingthe geometric approach of planar dynamic system.And finally we can get the analytical solutions of the biologicalchemotaxis model.更多还原