The paper mainly investigates a stochastic SIRS epidemic model with Logistic birth and nonlinear incidence. We obtain new threshold value (R0m) through the Stratonovich differential equation, different from usual basic reproduction number. If R0m<1, disease-free equilibrium of illness is globally asymptotically stable in probability one. R0m>1, disease permanent mean one has an endemic st...

We propose a quantum-classical hybrid scheme for implementing the nonunitary Gutzwiller factor using discrete Hubbard-Stratonovich transformation, which allows us to express as linear combination of unitary operators involving only single-qubit rotations, at cost sum over auxiliary fields. To perform fields, we introduce two approaches that have complementary features. The first approach employ...

Calculus via regularizations and rough paths are two methods to approach stochastic integration calculus close pathwise calculus. The origin of theory is purely deterministic, regularization based on deterministic techniques but there still a probability in the background. goal this paper establish connection between stochastically controlled-type processes, concept reminiscent from theory, so-...

langevin equation for a nano-particle suspended in a laminar fluid flow was analytically studied. the brownian motion generated from molecular bombardment was taken as a wiener stochastic process and approximated by a gaussian white noise. euler-maruyama method was used to solve the langevin equation numerically. the accuracy of brownian simulation was checked by performing a series of simulati...