Speaker
Description
In this work, we revisit classical three-dimensional Lotka-Volterra two-
prey-one-predator models with direct prey competition. Employing a rescaling technique, we reduce the system to a simpler model with eight key parameters. With minimal assumptions, all parameters are grouped into four generic categories with a total of nine subcases, which are further refined into 56 sub-items to explore diverse dynamical behaviors, including the globally asymptotically stability, bistability of boundary equilibria, the existence and stability of the positive equilibrium, the existence of periodic solutions, and the complex dynamics of some solutions. Many results are novel; most findings are shown analytically; some are verified numerically; and some are open.
