一个微生物生态模型的周期解  

PERIODIC SOLUTIONS OF A ECOLOGICAL MODEL OF MICROBES

作　　者：李必文[1] 张正球[2] 王志成[2] 

机构地区：[1]湖北师范学院数学系,黄石435002 [2]湖南大学数学院,长沙410082

出　　处：《应用数学学报》2004年第2期210-217,共8页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(19971026号);湖北省教育厅重大课题基金(20040Z001)

摘　　要：研究一类与厌氧消化过程微生物生态模型有关的微分方程组,在非自治双曲情形扰动下,通过利用重合度的延拓定理,获得了该方程组周期解全局存在性的充分条件。In this paper, a system of differential equations related to an ecological model of microbes in anaerobic digestion process is studied. In its nonautonomous perturbation, by using the continuation theorem of coincidence degree theory, some sufficient conditions for the global existence of periodic solutions of this system are obtained.

关 键 词：微生物 生态模型 周期解 延拓定理 重合度 微分方程组 

分 类 号：O175[理学—数学]