Stability analysis and bifurcations of a modified Nicholson–Bailey type model

Sultanah Masmali, Reza GhamarShoushtari and Majid Jaberi-Douraki

Chaos, Solitons & Fractals, 2025, vol. 199, issue P3

Abstract: In this paper, we investigate the dynamical behavior of a host-parasite model through the modification of a Nicholson–Bailey (MNB) model that contains four biological parameters in the first closed quadrant. By a re-scaling procedure, the MNB model is then reduced to a two-parameter system that almost entirely carries over the comprehensive dynamics of the original model. The new model always possesses two boundary steady states and we show that a third and unique interior steady state may exist under certain conditions imposed on one of the parameters.

Keywords: Mathematical modeling; Nicholson–Bailey model; Dynamical system; Stability; Bifurcation; Center manifold (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:199:y:2025:i:p3:s0960077925007210

DOI: 10.1016/j.chaos.2025.116708

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