Dynamics of hybrid switching diffusions SIRS model

Hybrid Switching Diffusions : Properties and Applications

Hybrid switching diffusions, also known as switching diffusions or regimeswitching systems, have drawn a signifi cant amount of attention in recent decades in a variety of applications due to their ability to model complex systems with uncertainty. Control and systems engineers have long been familiar with the fundamental idea of using a continuous stochastic differential equation to describe a...

Controlled Switching Diffusions as Hybrid Processes

Approximation of General Stochastic Hybrid Systems by Switching Diffusions with Random Hybrid Jumps

In this work we propose an approximation scheme to transform a general stochastic hybrid system (SHS) into a SHS without forced transitions due to spatial guards. Such switching mechanisms are replaced by spontaneous transitions with state-dependent transition intensities (jump rates). The resulting switching diffusion process with random hybrid jumps is shown to converge in distribution to the...

Ergodic Control of Switching Diffusions*

A bstract . We study the ergodic control problem of switching diffusions representing a typical hybrid system that arises in numerous applications such as fault-tolerant control systems, flexible manufacturing systems, etc. Under fairly general conditions, we establish the existence of a stable, nonrandomized Markov policy which almost surely minimizes the pathwise long-run average cost. We the...

SIRS Model For The Dynamics Of Non-Typhoidal Salmonella Epidemics