Global-stability problem for coupled systems of differential equations on networks

By Michael Y. Li, Zhisheng Shuai. 2010

844 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Molecular Biology, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/1ba635e1669f58c4134476d564f6e9858b5ac0f7

How researchers see this paper

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In Modeling and Simulation

1. Xuerong Mao
2. Daqing Jiang
3. Qingshan Yang
4. Yuguo Lin
5. Meng Liu
6. Ke Wang

In Public Health, Environmental and Occupational Health

1. Daqing Jiang
2. Xuerong Mao
3. Qingshan Yang
4. Yuguo Lin
5. Meng Liu
6. Ke Wang
7. Chenggui Yuan
8. George Yin

Citations in the corpus

• Long-time behaviour of a perturbed SIR model by white noise (2013, background): “For detailed works concerning deterministic SIR model and its extension, the reader may refer to [3, 6, 10, 15, 16, 18, 22, 26, 28] Due to the existence of environmental noise, in fact the parameters involved in (1) are not absolute constants, and they always fluctuate around some average values due”
• Global Stability of Infectious Disease Models Using Lyapunov Functions (2013, neutral): “, see [26]) but also models that do not have an explicit network structure.”
• Extinction and recurrence of multi-group SEIR epidemic (2013, background): “2 Preliminaries Firstly, we introduce some notations and results of graph theory ([36, 54]).”