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math.DS2018
Analysis of A Spatially Inhomogeneous Stochastic Partial Differential Equation Epidemic Model
Dang H Nguyen, Nhu N Nguyen, George Yin
This work proposes and analyzes a family of spatially inhomogeneous epidemic models. This is our first effort to use stochastic partial differential equations (SPDEs) to model epid…
math.DS2017
Limit Cycles of Dynamic Systems under Random Perturbations with Rapid Switching and Slow Diffusion: A Multi-Scale Approach
Dang H. Nguyen, Nguyen H. Du, George Yin
This work is devoted to examining qualitative properties of dynamic systems, in particular, limit cycles of stochastic differential equations with both rapid switching and small di…