Work

Estimates of size of cycle in a predator-prey system II

Year: 2024

Type: article

Abstract: We prove estimates for the maximal and minimal predator and prey populations on the unique limit cycle in a standard predator-prey system. Our estimates are valid when the cycle exhibits small predator and prey abundances and large amplitudes. The proofs consist of constructions of several Lyapunov-type functions and derivation of a large number of non-trivial estimates, and should be of independent interest. This study generalizes results proved by the authors in [11] to a wider class of systems and, in addition, it gives simpler proofs of some already known estimates.

Source: Advances in Differential Equations

DOI: 10.57262/ade030-0304-207

Authors: Niklas L.P. Lundström, Gunnar J. Söderbacka

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: green

OpenAlex ID: W4404775666

FWCI: 0.379

Cites:

Cited by: 1

Related to: 10