Universal Journal of Mathematics and Applications (Mar 2023)

Qualitative Analysis of a Nicholson-Bailey Model in Patchy Environment

  • Shehraz Akhtar,
  • Rizwan Ahmed

DOI
https://doi.org/10.32323/ujma.1167907
Journal volume & issue
Vol. 6, no. 1
pp. 30 – 42

Abstract

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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