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

Autor: Samim Akhtar, Nurul Huda Gazi, Sahabuddin Sarwardi
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Results in Control and Optimization, Vol 15, Iss , Pp 100421- (2024)
Druh dokumentu: article
ISSN: 2666-7207
DOI: 10.1016/j.rico.2024.100421
Popis: 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.
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