Title :
Qualitative study for a class of systems with five-molecule reversible biochemical reaction combining a second-order saturation
Author :
Feng, Guangting ; Zhang, Jinhui ; Zhang, Xinan
Author_Institution :
Sch. of Math. & Quantitative Econ., Hubei Univ. of Educ., Wuhan, China
Abstract :
Based on the qualitative theory of differential equations, a class of systems with five-molecule reversible biochemical reaction combining a second-order saturation got further investigation. It was shown necessary and sufficient conditions for the existence of limit cycle and globally stability of the positive equilibrium of this system.
Keywords :
biochemistry; differential equations; limit cycles; molecules; stability; differential equations; five-molecule reversible biochemical reaction; globally stability; limit cycle; positive equilibrium; qualitative theory; second-order saturation; Asymptotic stability; Differential equations; Educational institutions; Limit-cycles; Mathematical model; Stability analysis; Trajectory;
Conference_Titel :
Information Science and Technology (ICIST), 2012 International Conference on
Conference_Location :
Hubei
Print_ISBN :
978-1-4577-0343-0
DOI :
10.1109/ICIST.2012.6221598
