Mathematical modelling and bifurcation analysis of an eco-epidemiological system with multiple functional responses subjected to Allee effect and competition

Bibliographic Details
Title: Mathematical modelling and bifurcation analysis of an eco-epidemiological system with multiple functional responses subjected to Allee effect and competition
Authors: Samim Akhtar, Nurul Huda Gazi, Sahabuddin Sarwardi
Source: Results in Control and Optimization, Vol 15, Iss , Pp 100421- (2024)
Publisher Information: Elsevier, 2024.
Publication Year: 2024
Collection: LCC:Applied mathematics. Quantitative methods
Subject Terms: Eco-epidemic model, Stability, Hopf bifurcation, Limit cycle, Chaotic dynamics, Numerical simulations, Applied mathematics. Quantitative methods, T57-57.97
More Details: This article deals with an eco-epidemiological predator–prey model system with Allee effect on prey species and different functional responses. The growth function of the prey species is considered to follow Allee effect as this effect has an important and fundamental aspect on population growth. In this study we explore stability behaviour of the system along with bifurcation properties. It is also shown that the system experiences chaotic behaviour via period-doubling bifurcation as the parameters pass through some threshold values. The study’s validity is authenticated through numerical simulations using appropriate tools. The numerical simulations reveal that the system exhibits diverse dynamic behaviours with slight variations in system parameters.
Document Type: article
File Description: electronic resource
Language: English
ISSN: 2666-7207
Relation: http://www.sciencedirect.com/science/article/pii/S2666720724000511; https://doaj.org/toc/2666-7207
DOI: 10.1016/j.rico.2024.100421
Access URL: https://doaj.org/article/5f62f35f97464d9cad38c416b29a2483
Accession Number: edsdoj.5f62f35f97464d9cad38c416b29a2483
Database: Directory of Open Access Journals
More Details
ISSN:26667207
DOI:10.1016/j.rico.2024.100421
Published in:Results in Control and Optimization
Language:English