Geodesic
Stability analysis of a complex four species food-web model
Filomat, Tome 36 (2022) no. 1, p. 99

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DOI

This paper aims to study the dynamical behaviours of a four dimensional food web system consisting of a bottom prey, two middle predators and a superpredator(top predator) with Holling Type I and Type II functional responses. A system of four differential equations has been proposed and analyzed. Positivity, boundedness and extinction criteria of the system are studied. We have discussed the existence of various equilibrium points and stability of the system at these equilibrium points. We also explore the system undergoes a Hopf-bifurcation around interior equilibrium point for a parametric values which has very significant ecological impacts in this work. Computer simulation are carried out to validate our analytical findings. The biological implications of analytical and numerical findings are discussed critically
DOI : 10.2298/FIL2201099M
Classification : 34C23, 92D25
Keywords: Lotka-Volterra model, Ecological balance, Extinction, Stability, Persistence, Hopf-bifurcation 
Ashok Mondal; A K Pal; G P Samanta. Stability analysis of a complex four species food-web model. Filomat, Tome 36 (2022) no. 1, p. 99 . doi: 10.2298/FIL2201099M
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     title = {Stability analysis of a complex four species food-web model},
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     doi = {10.2298/FIL2201099M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2201099M/}
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