单种群杆菌生长反应扩散型动力学方程的行波解及其稳定性分析  

TRAVELLING WAVE SOLUTION AND ITS STABILITY OF REACTION DIFFUSION LIKE DYNAMIC EQUATION FOLLOWED BY THE GROWTH OF SINGLE BACILLUS POPULATION

作　　者：徐玖平[1] 罗久里[1] 徐启旺[2] 

机构地区：[1]四川大学化学系 [2]第三军医大学医学检验系

出　　处：《四川大学学报（自然科学版）》1998年第6期920-925,共6页Journal of Sichuan University(Natural Science Edition)

摘　　要：以细胞生物学理论为基础，细菌细胞发育周期形态和群体细菌分裂相数量的变化为依据，针对单种群杆菌生长问题，应用非线性系统动力学方法，建立了其状态演化的反应扩散型动力学方程，并对该体系的行波解及稳定性进行了讨论，为完善生物波理论做了有益探索．Based on the theories of cellar biology a reaction diffusion like dynamic equation valid for the popular growth of single bacillus was established by means of the nonlinear method of the dynamic systems.Furthermore,the travelling wave solution and its stability of this evolutionary equation is analysed.These exploratory results are helpful to complete the biological wave theory.

关 键 词：单种群杆菌 动力学 生长 行波解 反应扩散方程 

分 类 号：Q939.105[生物学—微生物学]