Abstract
A dynamical system model is presented in this paper for genetic regulatory networks with hybrid regulatory mechanism. The sufficient conditions for the stability of the proposed model are established based on the Lyapunov functional method and linear matrix inequality techniques. To test the effectiveness and correctness of our theoretical results, illustrative examples regarding modified repressilator and modified 5-node genetic network models are also presented.
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Acknowledgments
The authors would like to thank the editor and referees for their helpful and valuable comments and suggestions. This work is jointly supported by the National Natural Science Foundation of China under Grant 10901073 and 11072059, the Postdoctoral Science Funds of China (2011M500082), the Postdoctoral Fund of Jiangsu Province (1101076C), and Program for Innovative Research Team of Jiangnan University.
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Hu, M., Cao, J. & Yang, Y. Stability of genetic networks with hybrid regulatory mechanism. Arab. J. Math. 1, 319–328 (2012). https://doi.org/10.1007/s40065-012-0031-4
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DOI: https://doi.org/10.1007/s40065-012-0031-4