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Qualitative Analysis of a Nicholson-Bailey Model in Patchy Environment
oleh: Shehraz Akhtar, Rizwan Ahmed
Format: | Article |
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Diterbitkan: | Emrah Evren KARA 2023-03-01 |
Deskripsi
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.