Work

The Volterra Integrable case. Novel analytical and numerical results

Year: 2024

Type: article

Abstract: In the present paper we reconsider the integrable case of the Hamiltonian $N$-species Volterra system, as it has been introduced by Vito Volterra in 1937 and significantly enrich the results already published in the ArXiv in 2019 by two of the present authors (M. Scalia and O. Ragnisco). In fact, we present a new approach to the construction of conserved quantities and comment about the solutions of the equations of motion; we display mostly new analytical and numerical results, starting from the classical predator-prey model and arriving at the general $N$-species model Comment: 24 pages, 9 figures. This paper is a natural prosecution of the work arXiv:1903.03595 and presents different enrichments and enhancements of the results there appeared. In this second version several typos have been corrected

Source: Open Communications in Nonlinear Mathematical Physics

DOI: 10.46298/ocnmp.13947

Authors: M. Scalia, O. Ragnisco, B. Tirozzi, F. Zullo

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Università degli Studi di Brescia, Gruppo Nazionale per la Fisica Matematica

OpenAlex ID: W4403352737

FWCI: 0.376

Cites:

Cited by: 1

Related to: 10