Stochastic fluctuations and stability in birth-death population dynamics: two-component Langevin equation in path-integral formalism

Shigehiro Yasui, Yutaka Hatakeyama, Yoshiyasu Okuhara

We discuss the stochastic process of creation and annihilation of particles, i.e., the $A^n\rightleftarrows B$ process in which $n$ particles $A$s and one particle $B$ are trans…