- Universal Journal of Mathematics and Applications
- Vol: 6 Issue: 1
- Qualitative Analysis of a Nicholson-Bailey Model in Patchy Environment
Qualitative Analysis of a Nicholson-Bailey Model in Patchy Environment
Authors : Rizwan Ahmed, Shehraz Akhtar
Pages : 30-42
Doi:10.32323/ujma.1167907
View : 13 | Download : 5
Publication Date : 2023-03-28
Article Type : Research
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