A Stochastic Differential Equation SIS Epidemic Model

By Alison J. Gray, David Greenhalgh, Liangjian Hu, Xuerong Mao, J. Pan. SIAM Journal on Applied Mathematics, 2011

691 citations recorded by the source corpus.

Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/f00a7c28f5e962162ac786753f939b7c0b4e3afd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Genetics

1. Edward J. Allen
2. Tonghua Zhang
3. Daqing Jiang

In Modeling and Simulation

1. Edward J. Allen
2. Tonghua Zhang
3. Lu Wang
4. Xinzhu Meng
5. Yuguo Lin
6. Daqing Jiang

In Public Health, Environmental and Occupational Health

1. Edward J. Allen
2. Tonghua Zhang
3. Lu Wang
4. Xinzhu Meng
5. Yuguo Lin
6. Daqing Jiang
7. Meng Liu

Citations in the corpus

• Long-time behaviour of a perturbed SIR model by white noise (2013, methodology): “[8] discuss a stochastic SIS model with a similar parameter perturbation as we shall discuss here.”
• Environmental variability and mean-reverting processes (2016, background): “, [3, 4, 5, 6, 8, 10, 18, 21, 23]), it is assumed that changes in the environment produce random changes in a population’s per capita birth and death rates that are independent from the changes due to demographic variability.”
• Global dynamics analysis of a nonlinear impulsive stochastic chemostat system in a polluted environment (2016, background): “Then by the strong law of large numbers for martingales [9, 18], we have”