Qualitative Analysis of a Nicholson-Bailey Model in Patchy Environment

Year 2023, , 30 - 42, 28.03.2023

Rizwan Ahmed Shehraz Akhtar

https://doi.org/10.32323/ujma.1167907

Abstract

We studied a host-parasite model qualitatively. The host-parasitoid model is obtained by modifying the Nicholson-Bailey model so that the number of hosts that parasitoids can't attack is fixed. Topological classification of equilibria is achieved with the implementation of linearization. Furthermore, Neimark-Sacker bifurcation is explored using the bifurcation theory of normal forms at interior steady-state. The bifurcation in the model is controlled by implementing two control strategies. The theoretical studies are backed up by numerical simulations, which show the conclusions and their importance.

Keywords

Bifurcation, Chaos control, Nicholson-Bailey model, Stability

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