Conjecture on transience of the randomly switched predator-prey process
Let Xt=(xt,yt)X_t=(x_t,y_t)Xt=(xt,yt) be the process defined by the Lotka–Volterra PDMP in the paper, with initial condition X0=(x0,y0)∈R++2X_0=(x_0,y_0)\in\mathbb{R}_{++}^2X0=(x0,y0)∈R++2. Here, R++2\mathbb{R}_{++}^2R++2 denotes th…