Lotka-Volterra Equation and Their Periodic Solutions

We introduce the Lotka-Volterra system of differential equations. These equations model population growths of predators and prey in an environment where both exist. There is an equilibrium for which linearization fails, but we can none the less find closed trajectories around this critical point making it a center.
#mikethemathematician, #mikedabkowski, #profdabkowski

[@armanavagyan1876]

Thanks PROF for making new VIDEOS 😊

[@IreneTangyulyuWu]

I think in the matrix row 2 column 1, the denominator should be gamma instead of delta

[@mikethemathematician]

You are right! You will still get purely imaginary eigenvalues! Thanks for catching the typo!

[@goodomen12]

you made a mistake in calculating the eignvalues