2023/03/08 by Jean-Luc Boulnois, Boulnois, Jean-Luc
Medicine · Biochemistry, Genetics and Molecular Biology · Social Sciences · #Mathematical and Theoretical Epidemiology and Ecology Models #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation
paper · pdf · doi:10.48550/arxiv.2303.09317
The classical Lotka-Volterra predator-prey system is often used in species competition modeling. An exact, closed-form solution is derived when the natural growth rate of the prey species and decay rate of the predators are equal in magnitude. A standard functional transformation yields a novel system of two partially uncoupled rst-order ODEs for \hybrid-species", with one being autonomous. New exact, closed-form time-dependent solutions are derived for each individual species. An analytical expression for the system's oscillation period valid for any value of the system's energy is derived in terms of a novel universal function.