Work

The impact of fear and refuge on the dynamics of predator-prey model: Stability and simulation

Year: 2024

Type: article

Abstract: In this work, it was proposed and researched to use a mathematical model to simulate the interaction between two preys and two predators, such that the first prey will feel the fear of predation and the need for shelter, and this depends on the predators. The presence and stability of all possible equilibrium points was chosen when possible. The appropriate Lyapunov function is used to show the general stability of the balance points. The stability requirements of the system were determined. Numerical simulations were performed to validate the long-term behavior obtained for the model and understand the effects of the main parameters of the model in order to confirm our analytical conclusions.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2024.101029

Authors: Aseel Hameed, Hassan F. Al-Husseiny

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: $1,230

Funder: University of Baghdad

OpenAlex ID: W4405260122

FWCI: 0.376

Cites: 29

Cited by: 1

Related to: 10