Milton Jara

Delayed Logistic Equation as a Limit of Long Memory Markov Chains

Abstract We introduce and analyze a long memory continuous-time Markov chain on $${\mathbb R}_+$$ R + whose jump mechanism depends explicitly on a state in the past. From the present state $$x_0$$ x 0 , the process jumps to $$x_0(1+\frac{1}{N})$$ x 0 ( 1 + 1 N ) or to $$x_0(1-\fr...