Dynamics of Some Three-Dimensional Lotka-Volterra Systems

We characterize the dynamics of the following two Lotka-Volterra differential systems: over dot(x) = x(r + ay = bz), over dot(x) = x(r + ax + by + cz), over dot(y) = y(r - ax + cz), and over dot (y) = y(r + ax + dy + ez), over dot(z) = z(r - bx - cy), over dot(z) = z(r + ax + dy + fz). We analyze the biological meaning of the dynamics of these Lotka-Volterra systems