Work

Dynamics of a Two Competing Prey-One Predator System with Fear Effect and Anti-Predator Behaviour

Year: 2024

Type: article

Abstract: This paper examines the effect of fear and anti-predator behaviour in a two competing prey and one predator system. Here, one of the competing prey species is affected by the fear of predators while the other competing prey species shows anti-predator behaviour. Basic results on positivity, the boundedness of the solutions, local and global stability of the coexistence equilibrium point, uniform persistence, Hopf bifurcation and the nature of the limit cycle emerging through Hopf bifurcation are investigated. Numerical examples are provided to support our obtained results.

Source: Electronic Journal of Applied Mathematics

DOI: 10.61383/ejam.20242466

Author: Debasis Mukherjee

Institution: Ramakrishna Mission Vivekananda Educational and Research Institute

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

OpenAlex ID: W4409452309

FWCI: 0.384

Cites: 25

Cited by: 1

Related to: 10