Modelling the combined influences of predation and environment on biodiversity of species

This paper discusses a prey-predator model with a Type II functional response and environmental suitability components. The stability of equilibrium points and the emergence of bifurcation are analyzed using techniques from dynamical systems. It is discovered that the transcritical and Hopf bifurcat...

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Bibliographic Details
Main Authors: Saidin, M. S., Shamad, N. F. H. Abdul, Mohd, M. H., Noorani, M. S. Md
Format: Conference Proceeding
Language:English
Subjects:
Bifurcations
Biodiversity
Hopf bifurcation
Mathematical models
Parameters
Stability analysis
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Summary:This paper discusses a prey-predator model with a Type II functional response and environmental suitability components. The stability of equilibrium points and the emergence of bifurcation are analyzed using techniques from dynamical systems. It is discovered that the transcritical and Hopf bifurcations appear as some ecologically- relevant parameters change. In particular, our two-parameter bifurcation analysis shows how the interaction of transcritical and Hopf bifurcations can lead to different dynamics of species interaction e.g. coexistence of species, species exclusion and oscillatory dynamics. Overall, our findings suggest significant roles of predation and abiotic environments in mediating species biodiversity.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0018847