Bifurcation analysis of modeling biodegradation of Microcystins

作     者：Keying Song Wanbiao Ma Zhichao Jiang 

作者机构：School of Mathematics and Physics University of Science and Technology Beijing Beijing 100083 P. R. China Beijing Key L aboratory for Magneto-Photoelec trical Composite and Interface Science University of Science and Technology Beijing Beijing 100083 P. R. China Fundamental Science Department North China Institute of Aerospace Engineering Langfang 065000 P. R. China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2019年第12卷第3期

页      面：91-108页

核心收录：

学科分类：0701[理学-数学] 070101[理学-基础数学] 

基　　金：the National Key R&D Program of China (No. 2107YFF0207402) the National Natural Science Foundation of China (Nos. 11471034 and 11801014) Supporting Scheme for Hundred Excellent Innovative Talents in Colleges and Universities of Hebei Province and the Natural Science Foundation of Hebei Province (No. A2018409004) 

主　　题：Microcystins biodegradation stability Hopf bifurcation permanence 

摘      要：In this paper, a model with time delay describing biodegradation of Microcystins (MCs) is investigated. Firstly, the stability of the positive equilibrium and the existence of Hopf bifurcations are obtained. Furthermore, an explicit algorithm for determining the direction and the stability of the bifurcating periodic solutions is derived by using the normal form theory and center manifold argument. Finally, some numerical simulations are carried out to illustrate the applications of the results.