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.
出处
《应用数学学报》
CSCD
北大核心
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)
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
Ecological model
periodic solution
nonlinear perturbation
the continuation theorem
topological degree theory
