Work

Coexistence of populations in a Leslie-Gower tritrophic model with Holling-type functional responses

Year: 2024

Type: article

Abstract: The dynamics of a Leslie-Gower type tritrophic model are analyzed. The model considers the interaction among three populations, a resource, a predator and a superpredator. It is assumed that the predator is generalist and its interaction with the resource is according to a general Holling-type functional response. Furthermore, it is assumed that the superpredator is specialist and its interaction with the predator follows a Holling type II functional response. The goal of this work is to show conditions that guarantee the coexistence of the three species. To do this, the existence of a stable equilibrium point or a stable limit cycle is demonstrated, which appears via a bifurcation. In addition, the analytical results are exemplified through numerical simulations.

Source: Heliyon

DOI: 10.1016/j.heliyon.2024.e38207

Authors: Gamaliel Blé, Luis Miguel Valenzuela, Manuel Falconi

Institutions: Universidad Juárez Autónoma de Tabasco, Universidad Nacional Autónoma de México

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: gold

Estimated APC paid: $2,100

OpenAlex ID: W4402734781

FWCI:

Cites: 17

Cited by:

Related to: 10