In the 1920s, two mathematicians working on separate continents proposed the same set of mathematical equations for ...

In this paper, we revisit the famous periodic Lotka–Volterra competitive system. Some new and interesting sufficient conditions are obtained to guarantee the existence and global asymptotic stability ...

A stochastic Lotka-Volterra model is formulated by using the semi-martingale approach. The large deviation principle is established, and is used to obtain a bound for the asymptotics of the time to ...

Why should investors pay attention to cycles? For the same reason farmers pay attention to seasons. It is pointless for a farmer to try to harvest in the spring (or plant in the fall). Investors, too, ...