lotka_volterra#

diffeqzoo.ivps.lotka_volterra(*, initial_values=(20.0, 20.0), time_span=(0.0, 20.0), parameters=(0.5, 0.05, 0.5, 0.05))[source]#

Construct the Lotka–Volterra / predator-prey model.

The Lotka–Volterra equations describe the dynamics of biological systems in which two species, predators and prey, interact.

The original version is due to Lotka (1910). Its application to predator-Prey dynamics is due to Lotka (1925). The same model was discovered by Volterra (1926).

BibTex for Lotka (1910)

@article{lotka1910contribution,
    title={Contribution to the theory of periodic reactions},
    author={Lotka, Alfred J},
    journal={The Journal of Physical Chemistry},
    volume={14},
    number={3},
    pages={271--274},
    year={1910},
    publisher={ACS Publications}
}

BibTex for Lotka (1925)

@book{lotka1925elements,
    title={Elements of physical biology},
    author={Lotka, Alfred James},
    year={1925},
    publisher={Williams \& Wilkins}
}

BibTex for Volterra (1926)

@book{volterra1926variazioni,
    title={Variazioni e fluttuazioni del numero d'individui in specie animali conviventi},
    author={Volterra, Vito},
    year={1926},
    publisher={Societ{\`a} anonima tipografica" Leonardo da Vinci"}
}