Work

A nonlinear cross diffusion model analysis by using Holling type III functional response to describe fish and zooplankton dynamics taking into account the fishing effect in the ecosystem

Year: 2025

Type: article

Abstract: In this paper, we analyse a mathematical model of a cross-diffusion and selfdiffusion system describing the dynamics of fish and zooplankton population. A type III Holling functional response was used in the formulation of the model taking into account the effect of fishing in the ecosystem. Satisfactory results concerning the local and global existence properties of the solutions. Persistence conditions as well as the local stability of equilibrium states are established. We have shown in particular that, under certain conditions, cross-diffusion can trigger the emergence of spatial patterns. Numerical experiments are performed to visualize complex spatial patterns and dynamic behaviour in different fish exploited areas.

Source: Baku Mathematical Journal

DOI: 10.32010/j.bmj.2025.07

Authors: W. OUEDRAOGO, H. OUEDRAOGO

Institutions: Université Joseph Ki-Zerbo, Nazi Boni University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Life below water

Open Access status: bronze

OpenAlex ID: W4409487110

FWCI:

Cites: 1

Cited by:

Related to: 10